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Finding the Third Proportional to 31,482 and 47,526

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Solution

The third proportional to 31,482 and 47,526 is: 71,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482 : 47,526 = 47,526 : x
  2. Step 2: Convert to fraction form
    31,482/47,526 = 47,526/x
  3. Step 3: Cross multiply
    31,482x = 47,526 × 47,526
  4. Step 4: Simplify right side
    31,482x = 2,258,720,676
  5. Step 5: Solve for x
    x = 2,258,720,676/31,482
  6. Step 6: Final answer
    x = 71,746.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.