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Finding the Third Proportional to 47,785 and 71,798

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Solution

The third proportional to 47,785 and 71,798 is: 107,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,785 : 71,798 = 71,798 : x
  2. Step 2: Convert to fraction form
    47,785/71,798 = 71,798/x
  3. Step 3: Cross multiply
    47,785x = 71,798 × 71,798
  4. Step 4: Simplify right side
    47,785x = 5,154,952,804
  5. Step 5: Solve for x
    x = 5,154,952,804/47,785
  6. Step 6: Final answer
    x = 107,878.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.