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Finding the Third Proportional to 12,944 and 15,792

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Solution

The third proportional to 12,944 and 15,792 is: 19,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944 : 15,792 = 15,792 : x
  2. Step 2: Convert to fraction form
    12,944/15,792 = 15,792/x
  3. Step 3: Cross multiply
    12,944x = 15,792 × 15,792
  4. Step 4: Simplify right side
    12,944x = 249,387,264
  5. Step 5: Solve for x
    x = 249,387,264/12,944
  6. Step 6: Final answer
    x = 19,266.63

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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.