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Finding the Third Proportional to 30,252 and 42,354

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Solution

The third proportional to 30,252 and 42,354 is: 59,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252 : 42,354 = 42,354 : x
  2. Step 2: Convert to fraction form
    30,252/42,354 = 42,354/x
  3. Step 3: Cross multiply
    30,252x = 42,354 × 42,354
  4. Step 4: Simplify right side
    30,252x = 1,793,861,316
  5. Step 5: Solve for x
    x = 1,793,861,316/30,252
  6. Step 6: Final answer
    x = 59,297.28

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.