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Finding the Third Proportional to 42,353 and 63,324

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Solution

The third proportional to 42,353 and 63,324 is: 94,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,353 : 63,324 = 63,324 : x
  2. Step 2: Convert to fraction form
    42,353/63,324 = 63,324/x
  3. Step 3: Cross multiply
    42,353x = 63,324 × 63,324
  4. Step 4: Simplify right side
    42,353x = 4,009,928,976
  5. Step 5: Solve for x
    x = 4,009,928,976/42,353
  6. Step 6: Final answer
    x = 94,678.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.