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Finding the Third Proportional to 7,077.38 and 10,618.59

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Solution

The third proportional to 7,077.38 and 10,618.59 is: 15,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.38 : 10,618.59 = 10,618.59 : x
  2. Step 2: Convert to fraction form
    7,077.38/10,618.59 = 10,618.59/x
  3. Step 3: Cross multiply
    7,077.38x = 10,618.59 × 10,618.59
  4. Step 4: Simplify right side
    7,077.38x = 112,754,533.23
  5. Step 5: Solve for x
    x = 112,754,533.23/7,077.38
  6. Step 6: Final answer
    x = 15,931.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.