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Finding the Third Proportional to 41,424.75 and 88,389

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Solution

The third proportional to 41,424.75 and 88,389 is: 188,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424.75 : 88,389 = 88,389 : x
  2. Step 2: Convert to fraction form
    41,424.75/88,389 = 88,389/x
  3. Step 3: Cross multiply
    41,424.75x = 88,389 × 88,389
  4. Step 4: Simplify right side
    41,424.75x = 7,812,615,321
  5. Step 5: Solve for x
    x = 7,812,615,321/41,424.75
  6. Step 6: Final answer
    x = 188,597.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.