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Finding the Third Proportional to 5,672.53 and 8,610.05

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Solution

The third proportional to 5,672.53 and 8,610.05 is: 13,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.53 : 8,610.05 = 8,610.05 : x
  2. Step 2: Convert to fraction form
    5,672.53/8,610.05 = 8,610.05/x
  3. Step 3: Cross multiply
    5,672.53x = 8,610.05 × 8,610.05
  4. Step 4: Simplify right side
    5,672.53x = 74,132,907.19
  5. Step 5: Solve for x
    x = 74,132,907.19/5,672.53
  6. Step 6: Final answer
    x = 13,068.75

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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.