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Finding the Third Proportional to 10,820.25 and 26,200.13

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Solution

The third proportional to 10,820.25 and 26,200.13 is: 63,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.25 : 26,200.13 = 26,200.13 : x
  2. Step 2: Convert to fraction form
    10,820.25/26,200.13 = 26,200.13/x
  3. Step 3: Cross multiply
    10,820.25x = 26,200.13 × 26,200.13
  4. Step 4: Simplify right side
    10,820.25x = 686,446,550.02
  5. Step 5: Solve for x
    x = 686,446,550.02/10,820.25
  6. Step 6: Final answer
    x = 63,440.91

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.