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Finding the Third Proportional to 15,204.59 and 32,975.86

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Solution

The third proportional to 15,204.59 and 32,975.86 is: 71,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.59 : 32,975.86 = 32,975.86 : x
  2. Step 2: Convert to fraction form
    15,204.59/32,975.86 = 32,975.86/x
  3. Step 3: Cross multiply
    15,204.59x = 32,975.86 × 32,975.86
  4. Step 4: Simplify right side
    15,204.59x = 1,087,407,301.52
  5. Step 5: Solve for x
    x = 1,087,407,301.52/15,204.59
  6. Step 6: Final answer
    x = 71,518.38

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