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Finding the Third Proportional to 12,471 and 15,265.50

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Solution

The third proportional to 12,471 and 15,265.50 is: 18,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471 : 15,265.50 = 15,265.50 : x
  2. Step 2: Convert to fraction form
    12,471/15,265.50 = 15,265.50/x
  3. Step 3: Cross multiply
    12,471x = 15,265.50 × 15,265.50
  4. Step 4: Simplify right side
    12,471x = 233,035,490.25
  5. Step 5: Solve for x
    x = 233,035,490.25/12,471
  6. Step 6: Final answer
    x = 18,686.19

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.