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Finding the Third Proportional to 48,909.66 and 77,802.19

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Solution

The third proportional to 48,909.66 and 77,802.19 is: 123,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,909.66 : 77,802.19 = 77,802.19 : x
  2. Step 2: Convert to fraction form
    48,909.66/77,802.19 = 77,802.19/x
  3. Step 3: Cross multiply
    48,909.66x = 77,802.19 × 77,802.19
  4. Step 4: Simplify right side
    48,909.66x = 6,053,180,379.79
  5. Step 5: Solve for x
    x = 6,053,180,379.79/48,909.66
  6. Step 6: Final answer
    x = 123,762.48

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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.