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Finding the Third Proportional to 42,324 and 63,354

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Solution

The third proportional to 42,324 and 63,354 is: 94,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,324 : 63,354 = 63,354 : x
  2. Step 2: Convert to fraction form
    42,324/63,354 = 63,354/x
  3. Step 3: Cross multiply
    42,324x = 63,354 × 63,354
  4. Step 4: Simplify right side
    42,324x = 4,013,729,316
  5. Step 5: Solve for x
    x = 4,013,729,316/42,324
  6. Step 6: Final answer
    x = 94,833.41

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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.