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Finding the Third Proportional to 20,341.13 and 23,419.13

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Solution

The third proportional to 20,341.13 and 23,419.13 is: 26,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,341.13 : 23,419.13 = 23,419.13 : x
  2. Step 2: Convert to fraction form
    20,341.13/23,419.13 = 23,419.13/x
  3. Step 3: Cross multiply
    20,341.13x = 23,419.13 × 23,419.13
  4. Step 4: Simplify right side
    20,341.13x = 548,455,415.77
  5. Step 5: Solve for x
    x = 548,455,415.77/20,341.13
  6. Step 6: Final answer
    x = 26,962.89

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.