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Finding the Third Proportional to 44,640 and 70,902

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Solution

The third proportional to 44,640 and 70,902 is: 112,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,640 : 70,902 = 70,902 : x
  2. Step 2: Convert to fraction form
    44,640/70,902 = 70,902/x
  3. Step 3: Cross multiply
    44,640x = 70,902 × 70,902
  4. Step 4: Simplify right side
    44,640x = 5,027,093,604
  5. Step 5: Solve for x
    x = 5,027,093,604/44,640
  6. Step 6: Final answer
    x = 112,614.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.