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Finding the Third Proportional to 40,824 and 60,464

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Solution

The third proportional to 40,824 and 60,464 is: 89,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,824 : 60,464 = 60,464 : x
  2. Step 2: Convert to fraction form
    40,824/60,464 = 60,464/x
  3. Step 3: Cross multiply
    40,824x = 60,464 × 60,464
  4. Step 4: Simplify right side
    40,824x = 3,655,895,296
  5. Step 5: Solve for x
    x = 3,655,895,296/40,824
  6. Step 6: Final answer
    x = 89,552.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.