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Finding the Third Proportional to 5,703 and 7,612.50

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Solution

The third proportional to 5,703 and 7,612.50 is: 10,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703 : 7,612.50 = 7,612.50 : x
  2. Step 2: Convert to fraction form
    5,703/7,612.50 = 7,612.50/x
  3. Step 3: Cross multiply
    5,703x = 7,612.50 × 7,612.50
  4. Step 4: Simplify right side
    5,703x = 57,950,156.25
  5. Step 5: Solve for x
    x = 57,950,156.25/5,703
  6. Step 6: Final answer
    x = 10,161.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.