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Finding the Third Proportional to 7,242 and 15,792

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Solution

The third proportional to 7,242 and 15,792 is: 34,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242 : 15,792 = 15,792 : x
  2. Step 2: Convert to fraction form
    7,242/15,792 = 15,792/x
  3. Step 3: Cross multiply
    7,242x = 15,792 × 15,792
  4. Step 4: Simplify right side
    7,242x = 249,387,264
  5. Step 5: Solve for x
    x = 249,387,264/7,242
  6. Step 6: Final answer
    x = 34,436.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.