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Finding the Third Proportional to 15,654 and 22,929

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Solution

The third proportional to 15,654 and 22,929 is: 33,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654 : 22,929 = 22,929 : x
  2. Step 2: Convert to fraction form
    15,654/22,929 = 22,929/x
  3. Step 3: Cross multiply
    15,654x = 22,929 × 22,929
  4. Step 4: Simplify right side
    15,654x = 525,739,041
  5. Step 5: Solve for x
    x = 525,739,041/15,654
  6. Step 6: Final answer
    x = 33,584.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.