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Finding the Third Proportional to 23,419.13 and 26,335.13

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Solution

The third proportional to 23,419.13 and 26,335.13 is: 29,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.13 : 26,335.13 = 26,335.13 : x
  2. Step 2: Convert to fraction form
    23,419.13/26,335.13 = 26,335.13/x
  3. Step 3: Cross multiply
    23,419.13x = 26,335.13 × 26,335.13
  4. Step 4: Simplify right side
    23,419.13x = 693,538,808.77
  5. Step 5: Solve for x
    x = 693,538,808.77/23,419.13
  6. Step 6: Final answer
    x = 29,614.21

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.