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Finding the Third Proportional to 6,988.15 and 15,129.60

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Solution

The third proportional to 6,988.15 and 15,129.60 is: 32,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.15 : 15,129.60 = 15,129.60 : x
  2. Step 2: Convert to fraction form
    6,988.15/15,129.60 = 15,129.60/x
  3. Step 3: Cross multiply
    6,988.15x = 15,129.60 × 15,129.60
  4. Step 4: Simplify right side
    6,988.15x = 228,904,725.24
  5. Step 5: Solve for x
    x = 228,904,725.24/6,988.15
  6. Step 6: Final answer
    x = 32,756.13

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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.