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Finding the Third Proportional to 48,784 and 77,648

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Solution

The third proportional to 48,784 and 77,648 is: 123,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784 : 77,648 = 77,648 : x
  2. Step 2: Convert to fraction form
    48,784/77,648 = 77,648/x
  3. Step 3: Cross multiply
    48,784x = 77,648 × 77,648
  4. Step 4: Simplify right side
    48,784x = 6,029,211,904
  5. Step 5: Solve for x
    x = 6,029,211,904/48,784
  6. Step 6: Final answer
    x = 123,589.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.