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Finding the Third Proportional to 15,159.75 and 32,237.25

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Solution

The third proportional to 15,159.75 and 32,237.25 is: 68,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,159.75 : 32,237.25 = 32,237.25 : x
  2. Step 2: Convert to fraction form
    15,159.75/32,237.25 = 32,237.25/x
  3. Step 3: Cross multiply
    15,159.75x = 32,237.25 × 32,237.25
  4. Step 4: Simplify right side
    15,159.75x = 1,039,240,287.56
  5. Step 5: Solve for x
    x = 1,039,240,287.56/15,159.75
  6. Step 6: Final answer
    x = 68,552.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.