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Finding the Third Proportional to 15,617.75 and 32,530.75

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Solution

The third proportional to 15,617.75 and 32,530.75 is: 67,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.75 : 32,530.75 = 32,530.75 : x
  2. Step 2: Convert to fraction form
    15,617.75/32,530.75 = 32,530.75/x
  3. Step 3: Cross multiply
    15,617.75x = 32,530.75 × 32,530.75
  4. Step 4: Simplify right side
    15,617.75x = 1,058,249,695.56
  5. Step 5: Solve for x
    x = 1,058,249,695.56/15,617.75
  6. Step 6: Final answer
    x = 67,759.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.