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Finding the Third Proportional to 32,470 and 44,001

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Solution

The third proportional to 32,470 and 44,001 is: 59,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470 : 44,001 = 44,001 : x
  2. Step 2: Convert to fraction form
    32,470/44,001 = 44,001/x
  3. Step 3: Cross multiply
    32,470x = 44,001 × 44,001
  4. Step 4: Simplify right side
    32,470x = 1,936,088,001
  5. Step 5: Solve for x
    x = 1,936,088,001/32,470
  6. Step 6: Final answer
    x = 59,626.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.