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Finding the Third Proportional to 6,602.50 and 10,617

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Solution

The third proportional to 6,602.50 and 10,617 is: 17,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.50 : 10,617 = 10,617 : x
  2. Step 2: Convert to fraction form
    6,602.50/10,617 = 10,617/x
  3. Step 3: Cross multiply
    6,602.50x = 10,617 × 10,617
  4. Step 4: Simplify right side
    6,602.50x = 112,720,689
  5. Step 5: Solve for x
    x = 112,720,689/6,602.50
  6. Step 6: Final answer
    x = 17,072.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.