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Finding the Third Proportional to 15,536.25 and 36,987.75

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Solution

The third proportional to 15,536.25 and 36,987.75 is: 88,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.25 : 36,987.75 = 36,987.75 : x
  2. Step 2: Convert to fraction form
    15,536.25/36,987.75 = 36,987.75/x
  3. Step 3: Cross multiply
    15,536.25x = 36,987.75 × 36,987.75
  4. Step 4: Simplify right side
    15,536.25x = 1,368,093,650.06
  5. Step 5: Solve for x
    x = 1,368,093,650.06/15,536.25
  6. Step 6: Final answer
    x = 88,058.16

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.