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Finding the Third Proportional to 15,748 and 22,016.50

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Solution

The third proportional to 15,748 and 22,016.50 is: 30,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,748 : 22,016.50 = 22,016.50 : x
  2. Step 2: Convert to fraction form
    15,748/22,016.50 = 22,016.50/x
  3. Step 3: Cross multiply
    15,748x = 22,016.50 × 22,016.50
  4. Step 4: Simplify right side
    15,748x = 484,726,272.25
  5. Step 5: Solve for x
    x = 484,726,272.25/15,748
  6. Step 6: Final answer
    x = 30,780.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.