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Finding the Third Proportional to 22,382 and 34,428

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Solution

The third proportional to 22,382 and 34,428 is: 52,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382 : 34,428 = 34,428 : x
  2. Step 2: Convert to fraction form
    22,382/34,428 = 34,428/x
  3. Step 3: Cross multiply
    22,382x = 34,428 × 34,428
  4. Step 4: Simplify right side
    22,382x = 1,185,287,184
  5. Step 5: Solve for x
    x = 1,185,287,184/22,382
  6. Step 6: Final answer
    x = 52,957.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.