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Finding the Third Proportional to 26,000.16 and 37,154.53

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Solution

The third proportional to 26,000.16 and 37,154.53 is: 53,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.16 : 37,154.53 = 37,154.53 : x
  2. Step 2: Convert to fraction form
    26,000.16/37,154.53 = 37,154.53/x
  3. Step 3: Cross multiply
    26,000.16x = 37,154.53 × 37,154.53
  4. Step 4: Simplify right side
    26,000.16x = 1,380,459,192.41
  5. Step 5: Solve for x
    x = 1,380,459,192.41/26,000.16
  6. Step 6: Final answer
    x = 53,094.27

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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.