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Finding the Third Proportional to 61,686 and 83,588.25

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Solution

The third proportional to 61,686 and 83,588.25 is: 113,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,686 : 83,588.25 = 83,588.25 : x
  2. Step 2: Convert to fraction form
    61,686/83,588.25 = 83,588.25/x
  3. Step 3: Cross multiply
    61,686x = 83,588.25 × 83,588.25
  4. Step 4: Simplify right side
    61,686x = 6,986,995,538.06
  5. Step 5: Solve for x
    x = 6,986,995,538.06/61,686
  6. Step 6: Final answer
    x = 113,267.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.