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Finding the Third Proportional to 15,026.25 and 34,785

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Solution

The third proportional to 15,026.25 and 34,785 is: 80,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,026.25 : 34,785 = 34,785 : x
  2. Step 2: Convert to fraction form
    15,026.25/34,785 = 34,785/x
  3. Step 3: Cross multiply
    15,026.25x = 34,785 × 34,785
  4. Step 4: Simplify right side
    15,026.25x = 1,209,996,225
  5. Step 5: Solve for x
    x = 1,209,996,225/15,026.25
  6. Step 6: Final answer
    x = 80,525.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.