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Finding the Third Proportional to 15,896 and 23,382

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Solution

The third proportional to 15,896 and 23,382 is: 34,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896 : 23,382 = 23,382 : x
  2. Step 2: Convert to fraction form
    15,896/23,382 = 23,382/x
  3. Step 3: Cross multiply
    15,896x = 23,382 × 23,382
  4. Step 4: Simplify right side
    15,896x = 546,717,924
  5. Step 5: Solve for x
    x = 546,717,924/15,896
  6. Step 6: Final answer
    x = 34,393.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.