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Finding the Third Proportional to 11,461.50 and 15,463.50

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Solution

The third proportional to 11,461.50 and 15,463.50 is: 20,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.50 : 15,463.50 = 15,463.50 : x
  2. Step 2: Convert to fraction form
    11,461.50/15,463.50 = 15,463.50/x
  3. Step 3: Cross multiply
    11,461.50x = 15,463.50 × 15,463.50
  4. Step 4: Simplify right side
    11,461.50x = 239,119,832.25
  5. Step 5: Solve for x
    x = 239,119,832.25/11,461.50
  6. Step 6: Final answer
    x = 20,862.87

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.