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Finding the Third Proportional to 6,015.32 and 9,152.72

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Solution

The third proportional to 6,015.32 and 9,152.72 is: 13,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,015.32 : 9,152.72 = 9,152.72 : x
  2. Step 2: Convert to fraction form
    6,015.32/9,152.72 = 9,152.72/x
  3. Step 3: Cross multiply
    6,015.32x = 9,152.72 × 9,152.72
  4. Step 4: Simplify right side
    6,015.32x = 83,772,340.96
  5. Step 5: Solve for x
    x = 83,772,340.96/6,015.32
  6. Step 6: Final answer
    x = 13,926.50

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.