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Finding the Third Proportional to 7,062.19 and 9,165.66

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Solution

The third proportional to 7,062.19 and 9,165.66 is: 11,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.19 : 9,165.66 = 9,165.66 : x
  2. Step 2: Convert to fraction form
    7,062.19/9,165.66 = 9,165.66/x
  3. Step 3: Cross multiply
    7,062.19x = 9,165.66 × 9,165.66
  4. Step 4: Simplify right side
    7,062.19x = 84,009,254.49
  5. Step 5: Solve for x
    x = 84,009,254.49/7,062.19
  6. Step 6: Final answer
    x = 11,895.64

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.