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Finding the Third Proportional to 6,038.50 and 8,882.75

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Solution

The third proportional to 6,038.50 and 8,882.75 is: 13,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.50 : 8,882.75 = 8,882.75 : x
  2. Step 2: Convert to fraction form
    6,038.50/8,882.75 = 8,882.75/x
  3. Step 3: Cross multiply
    6,038.50x = 8,882.75 × 8,882.75
  4. Step 4: Simplify right side
    6,038.50x = 78,903,247.56
  5. Step 5: Solve for x
    x = 78,903,247.56/6,038.50
  6. Step 6: Final answer
    x = 13,066.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.