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Finding the Third Proportional to 48,495 and 77,424

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Solution

The third proportional to 48,495 and 77,424 is: 123,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,495 : 77,424 = 77,424 : x
  2. Step 2: Convert to fraction form
    48,495/77,424 = 77,424/x
  3. Step 3: Cross multiply
    48,495x = 77,424 × 77,424
  4. Step 4: Simplify right side
    48,495x = 5,994,475,776
  5. Step 5: Solve for x
    x = 5,994,475,776/48,495
  6. Step 6: Final answer
    x = 123,610.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.