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Finding the Third Proportional to 29,502 and 45,151

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Solution

The third proportional to 29,502 and 45,151 is: 69,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502 : 45,151 = 45,151 : x
  2. Step 2: Convert to fraction form
    29,502/45,151 = 45,151/x
  3. Step 3: Cross multiply
    29,502x = 45,151 × 45,151
  4. Step 4: Simplify right side
    29,502x = 2,038,612,801
  5. Step 5: Solve for x
    x = 2,038,612,801/29,502
  6. Step 6: Final answer
    x = 69,100.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.