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Finding the Third Proportional to 48,496 and 74,886

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Solution

The third proportional to 48,496 and 74,886 is: 115,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,496 : 74,886 = 74,886 : x
  2. Step 2: Convert to fraction form
    48,496/74,886 = 74,886/x
  3. Step 3: Cross multiply
    48,496x = 74,886 × 74,886
  4. Step 4: Simplify right side
    48,496x = 5,607,912,996
  5. Step 5: Solve for x
    x = 5,607,912,996/48,496
  6. Step 6: Final answer
    x = 115,636.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.