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Finding the Third Proportional to 30,464 and 44,552

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Solution

The third proportional to 30,464 and 44,552 is: 65,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464 : 44,552 = 44,552 : x
  2. Step 2: Convert to fraction form
    30,464/44,552 = 44,552/x
  3. Step 3: Cross multiply
    30,464x = 44,552 × 44,552
  4. Step 4: Simplify right side
    30,464x = 1,984,880,704
  5. Step 5: Solve for x
    x = 1,984,880,704/30,464
  6. Step 6: Final answer
    x = 65,154.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.