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Finding the Third Proportional to 14,533 and 21,373

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Solution

The third proportional to 14,533 and 21,373 is: 31,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533 : 21,373 = 21,373 : x
  2. Step 2: Convert to fraction form
    14,533/21,373 = 21,373/x
  3. Step 3: Cross multiply
    14,533x = 21,373 × 21,373
  4. Step 4: Simplify right side
    14,533x = 456,805,129
  5. Step 5: Solve for x
    x = 456,805,129/14,533
  6. Step 6: Final answer
    x = 31,432.27

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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.