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Finding the Third Proportional to 5,699 and 8,747.50

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Solution

The third proportional to 5,699 and 8,747.50 is: 13,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699 : 8,747.50 = 8,747.50 : x
  2. Step 2: Convert to fraction form
    5,699/8,747.50 = 8,747.50/x
  3. Step 3: Cross multiply
    5,699x = 8,747.50 × 8,747.50
  4. Step 4: Simplify right side
    5,699x = 76,518,756.25
  5. Step 5: Solve for x
    x = 76,518,756.25/5,699
  6. Step 6: Final answer
    x = 13,426.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.