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Finding the Third Proportional to 10,540.13 and 13,569.19

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Solution

The third proportional to 10,540.13 and 13,569.19 is: 17,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.13 : 13,569.19 = 13,569.19 : x
  2. Step 2: Convert to fraction form
    10,540.13/13,569.19 = 13,569.19/x
  3. Step 3: Cross multiply
    10,540.13x = 13,569.19 × 13,569.19
  4. Step 4: Simplify right side
    10,540.13x = 184,122,849.41
  5. Step 5: Solve for x
    x = 184,122,849.41/10,540.13
  6. Step 6: Final answer
    x = 17,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.