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Finding the Third Proportional to 50,878.25 and 74,793.13

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Solution

The third proportional to 50,878.25 and 74,793.13 is: 109,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.25 : 74,793.13 = 74,793.13 : x
  2. Step 2: Convert to fraction form
    50,878.25/74,793.13 = 74,793.13/x
  3. Step 3: Cross multiply
    50,878.25x = 74,793.13 × 74,793.13
  4. Step 4: Simplify right side
    50,878.25x = 5,594,011,547.27
  5. Step 5: Solve for x
    x = 5,594,011,547.27/50,878.25
  6. Step 6: Final answer
    x = 109,948.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.