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Finding the Third Proportional to 6,656.50 and 9,012.50

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Solution

The third proportional to 6,656.50 and 9,012.50 is: 12,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.50 : 9,012.50 = 9,012.50 : x
  2. Step 2: Convert to fraction form
    6,656.50/9,012.50 = 9,012.50/x
  3. Step 3: Cross multiply
    6,656.50x = 9,012.50 × 9,012.50
  4. Step 4: Simplify right side
    6,656.50x = 81,225,156.25
  5. Step 5: Solve for x
    x = 81,225,156.25/6,656.50
  6. Step 6: Final answer
    x = 12,202.38

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.