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Finding the Third Proportional to 38,815.93 and 59,121.14

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Solution

The third proportional to 38,815.93 and 59,121.14 is: 90,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,815.93 : 59,121.14 = 59,121.14 : x
  2. Step 2: Convert to fraction form
    38,815.93/59,121.14 = 59,121.14/x
  3. Step 3: Cross multiply
    38,815.93x = 59,121.14 × 59,121.14
  4. Step 4: Simplify right side
    38,815.93x = 3,495,309,268.80
  5. Step 5: Solve for x
    x = 3,495,309,268.80/38,815.93
  6. Step 6: Final answer
    x = 90,048.32

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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.