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Finding the Third Proportional to 15,090 and 32,975

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Solution

The third proportional to 15,090 and 32,975 is: 72,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090 : 32,975 = 32,975 : x
  2. Step 2: Convert to fraction form
    15,090/32,975 = 32,975/x
  3. Step 3: Cross multiply
    15,090x = 32,975 × 32,975
  4. Step 4: Simplify right side
    15,090x = 1,087,350,625
  5. Step 5: Solve for x
    x = 1,087,350,625/15,090
  6. Step 6: Final answer
    x = 72,057.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.