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Finding the Third Proportional to 48,799 and 71,536

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Solution

The third proportional to 48,799 and 71,536 is: 104,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,799 : 71,536 = 71,536 : x
  2. Step 2: Convert to fraction form
    48,799/71,536 = 71,536/x
  3. Step 3: Cross multiply
    48,799x = 71,536 × 71,536
  4. Step 4: Simplify right side
    48,799x = 5,117,399,296
  5. Step 5: Solve for x
    x = 5,117,399,296/48,799
  6. Step 6: Final answer
    x = 104,866.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.