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Finding the Third Proportional to 22,498 and 32,929

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Solution

The third proportional to 22,498 and 32,929 is: 48,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498 : 32,929 = 32,929 : x
  2. Step 2: Convert to fraction form
    22,498/32,929 = 32,929/x
  3. Step 3: Cross multiply
    22,498x = 32,929 × 32,929
  4. Step 4: Simplify right side
    22,498x = 1,084,319,041
  5. Step 5: Solve for x
    x = 1,084,319,041/22,498
  6. Step 6: Final answer
    x = 48,196.24

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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.