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Finding the Third Proportional to 51,008.75 and 77,642.13

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Solution

The third proportional to 51,008.75 and 77,642.13 is: 118,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008.75 : 77,642.13 = 77,642.13 : x
  2. Step 2: Convert to fraction form
    51,008.75/77,642.13 = 77,642.13/x
  3. Step 3: Cross multiply
    51,008.75x = 77,642.13 × 77,642.13
  4. Step 4: Simplify right side
    51,008.75x = 6,028,299,574.52
  5. Step 5: Solve for x
    x = 6,028,299,574.52/51,008.75
  6. Step 6: Final answer
    x = 118,181.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.