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Finding the Third Proportional to 11,066.63 and 15,648.19

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Solution

The third proportional to 11,066.63 and 15,648.19 is: 22,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,066.63 : 15,648.19 = 15,648.19 : x
  2. Step 2: Convert to fraction form
    11,066.63/15,648.19 = 15,648.19/x
  3. Step 3: Cross multiply
    11,066.63x = 15,648.19 × 15,648.19
  4. Step 4: Simplify right side
    11,066.63x = 244,865,772.04
  5. Step 5: Solve for x
    x = 244,865,772.04/11,066.63
  6. Step 6: Final answer
    x = 22,126.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.