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Finding the Third Proportional to 5,713 and 8,497.50

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Solution

The third proportional to 5,713 and 8,497.50 is: 12,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713 : 8,497.50 = 8,497.50 : x
  2. Step 2: Convert to fraction form
    5,713/8,497.50 = 8,497.50/x
  3. Step 3: Cross multiply
    5,713x = 8,497.50 × 8,497.50
  4. Step 4: Simplify right side
    5,713x = 72,207,506.25
  5. Step 5: Solve for x
    x = 72,207,506.25/5,713
  6. Step 6: Final answer
    x = 12,639.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.