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Finding the Third Proportional to 15,106.88 and 32,724.75

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Solution

The third proportional to 15,106.88 and 32,724.75 is: 70,888.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.88 : 32,724.75 = 32,724.75 : x
  2. Step 2: Convert to fraction form
    15,106.88/32,724.75 = 32,724.75/x
  3. Step 3: Cross multiply
    15,106.88x = 32,724.75 × 32,724.75
  4. Step 4: Simplify right side
    15,106.88x = 1,070,909,262.56
  5. Step 5: Solve for x
    x = 1,070,909,262.56/15,106.88
  6. Step 6: Final answer
    x = 70,888.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.