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Finding the Third Proportional to 26,000.25 and 37,154.63

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Solution

The third proportional to 26,000.25 and 37,154.63 is: 53,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.25 : 37,154.63 = 37,154.63 : x
  2. Step 2: Convert to fraction form
    26,000.25/37,154.63 = 37,154.63/x
  3. Step 3: Cross multiply
    26,000.25x = 37,154.63 × 37,154.63
  4. Step 4: Simplify right side
    26,000.25x = 1,380,466,158.89
  5. Step 5: Solve for x
    x = 1,380,466,158.89/26,000.25
  6. Step 6: Final answer
    x = 53,094.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.