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Finding the Third Proportional to 11,215.13 and 14,757.19

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Solution

The third proportional to 11,215.13 and 14,757.19 is: 19,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.13 : 14,757.19 = 14,757.19 : x
  2. Step 2: Convert to fraction form
    11,215.13/14,757.19 = 14,757.19/x
  3. Step 3: Cross multiply
    11,215.13x = 14,757.19 × 14,757.19
  4. Step 4: Simplify right side
    11,215.13x = 217,774,582.91
  5. Step 5: Solve for x
    x = 217,774,582.91/11,215.13
  6. Step 6: Final answer
    x = 19,417.94

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.