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Finding the Third Proportional to 26,551.13 and 58,205.25

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Solution

The third proportional to 26,551.13 and 58,205.25 is: 127,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,551.13 : 58,205.25 = 58,205.25 : x
  2. Step 2: Convert to fraction form
    26,551.13/58,205.25 = 58,205.25/x
  3. Step 3: Cross multiply
    26,551.13x = 58,205.25 × 58,205.25
  4. Step 4: Simplify right side
    26,551.13x = 3,387,851,127.56
  5. Step 5: Solve for x
    x = 3,387,851,127.56/26,551.13
  6. Step 6: Final answer
    x = 127,597.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.