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Finding the Third Proportional to 30,501 and 45,747

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Solution

The third proportional to 30,501 and 45,747 is: 68,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 45,747 = 45,747 : x
  2. Step 2: Convert to fraction form
    30,501/45,747 = 45,747/x
  3. Step 3: Cross multiply
    30,501x = 45,747 × 45,747
  4. Step 4: Simplify right side
    30,501x = 2,092,788,009
  5. Step 5: Solve for x
    x = 2,092,788,009/30,501
  6. Step 6: Final answer
    x = 68,613.75

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