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Finding the Third Proportional to 40,388 and 88,472

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Solution

The third proportional to 40,388 and 88,472 is: 193,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,388 : 88,472 = 88,472 : x
  2. Step 2: Convert to fraction form
    40,388/88,472 = 88,472/x
  3. Step 3: Cross multiply
    40,388x = 88,472 × 88,472
  4. Step 4: Simplify right side
    40,388x = 7,827,294,784
  5. Step 5: Solve for x
    x = 7,827,294,784/40,388
  6. Step 6: Final answer
    x = 193,802.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.