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Finding the Third Proportional to 26,347.50 and 39,522

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Solution

The third proportional to 26,347.50 and 39,522 is: 59,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,347.50 : 39,522 = 39,522 : x
  2. Step 2: Convert to fraction form
    26,347.50/39,522 = 39,522/x
  3. Step 3: Cross multiply
    26,347.50x = 39,522 × 39,522
  4. Step 4: Simplify right side
    26,347.50x = 1,561,988,484
  5. Step 5: Solve for x
    x = 1,561,988,484/26,347.50
  6. Step 6: Final answer
    x = 59,284.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.