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Finding the Third Proportional to 16,140 and 25,362

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Solution

The third proportional to 16,140 and 25,362 is: 39,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140 : 25,362 = 25,362 : x
  2. Step 2: Convert to fraction form
    16,140/25,362 = 25,362/x
  3. Step 3: Cross multiply
    16,140x = 25,362 × 25,362
  4. Step 4: Simplify right side
    16,140x = 643,231,044
  5. Step 5: Solve for x
    x = 643,231,044/16,140
  6. Step 6: Final answer
    x = 39,853.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.