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Finding the Third Proportional to 40,200 and 59,484

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Solution

The third proportional to 40,200 and 59,484 is: 88,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200 : 59,484 = 59,484 : x
  2. Step 2: Convert to fraction form
    40,200/59,484 = 59,484/x
  3. Step 3: Cross multiply
    40,200x = 59,484 × 59,484
  4. Step 4: Simplify right side
    40,200x = 3,538,346,256
  5. Step 5: Solve for x
    x = 3,538,346,256/40,200
  6. Step 6: Final answer
    x = 88,018.56

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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.