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Finding the Third Proportional to 40,228 and 93,528

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Solution

The third proportional to 40,228 and 93,528 is: 217,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 93,528 = 93,528 : x
  2. Step 2: Convert to fraction form
    40,228/93,528 = 93,528/x
  3. Step 3: Cross multiply
    40,228x = 93,528 × 93,528
  4. Step 4: Simplify right side
    40,228x = 8,747,486,784
  5. Step 5: Solve for x
    x = 8,747,486,784/40,228
  6. Step 6: Final answer
    x = 217,447.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.