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Finding the Third Proportional to 48,633 and 71,370

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Solution

The third proportional to 48,633 and 71,370 is: 104,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,633 : 71,370 = 71,370 : x
  2. Step 2: Convert to fraction form
    48,633/71,370 = 71,370/x
  3. Step 3: Cross multiply
    48,633x = 71,370 × 71,370
  4. Step 4: Simplify right side
    48,633x = 5,093,676,900
  5. Step 5: Solve for x
    x = 5,093,676,900/48,633
  6. Step 6: Final answer
    x = 104,737.05

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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.