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Finding the Third Proportional to 18,962.19 and 29,221.76

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Solution

The third proportional to 18,962.19 and 29,221.76 is: 45,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,962.19 : 29,221.76 = 29,221.76 : x
  2. Step 2: Convert to fraction form
    18,962.19/29,221.76 = 29,221.76/x
  3. Step 3: Cross multiply
    18,962.19x = 29,221.76 × 29,221.76
  4. Step 4: Simplify right side
    18,962.19x = 853,911,172.46
  5. Step 5: Solve for x
    x = 853,911,172.46/18,962.19
  6. Step 6: Final answer
    x = 45,032.31

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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.