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Finding the Third Proportional to 30,651 and 45,402

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Solution

The third proportional to 30,651 and 45,402 is: 67,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651 : 45,402 = 45,402 : x
  2. Step 2: Convert to fraction form
    30,651/45,402 = 45,402/x
  3. Step 3: Cross multiply
    30,651x = 45,402 × 45,402
  4. Step 4: Simplify right side
    30,651x = 2,061,341,604
  5. Step 5: Solve for x
    x = 2,061,341,604/30,651
  6. Step 6: Final answer
    x = 67,252.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.