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Finding the Third Proportional to 12,403.97 and 29,256.19

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Solution

The third proportional to 12,403.97 and 29,256.19 is: 69,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.97 : 29,256.19 = 29,256.19 : x
  2. Step 2: Convert to fraction form
    12,403.97/29,256.19 = 29,256.19/x
  3. Step 3: Cross multiply
    12,403.97x = 29,256.19 × 29,256.19
  4. Step 4: Simplify right side
    12,403.97x = 855,924,507.04
  5. Step 5: Solve for x
    x = 855,924,507.04/12,403.97
  6. Step 6: Final answer
    x = 69,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.