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Finding the Third Proportional to 51,924.38 and 77,799.94

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Solution

The third proportional to 51,924.38 and 77,799.94 is: 116,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,924.38 : 77,799.94 = 77,799.94 : x
  2. Step 2: Convert to fraction form
    51,924.38/77,799.94 = 77,799.94/x
  3. Step 3: Cross multiply
    51,924.38x = 77,799.94 × 77,799.94
  4. Step 4: Simplify right side
    51,924.38x = 6,052,830,275.00
  5. Step 5: Solve for x
    x = 6,052,830,275.00/51,924.38
  6. Step 6: Final answer
    x = 116,570.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.