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Finding the Third Proportional to 44,417 and 70,680

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Solution

The third proportional to 44,417 and 70,680 is: 112,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,417 : 70,680 = 70,680 : x
  2. Step 2: Convert to fraction form
    44,417/70,680 = 70,680/x
  3. Step 3: Cross multiply
    44,417x = 70,680 × 70,680
  4. Step 4: Simplify right side
    44,417x = 4,995,662,400
  5. Step 5: Solve for x
    x = 4,995,662,400/44,417
  6. Step 6: Final answer
    x = 112,471.86

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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.