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Finding the Third Proportional to 5,971.50 and 8,352

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Solution

The third proportional to 5,971.50 and 8,352 is: 11,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 8,352 = 8,352 : x
  2. Step 2: Convert to fraction form
    5,971.50/8,352 = 8,352/x
  3. Step 3: Cross multiply
    5,971.50x = 8,352 × 8,352
  4. Step 4: Simplify right side
    5,971.50x = 69,755,904
  5. Step 5: Solve for x
    x = 69,755,904/5,971.50
  6. Step 6: Final answer
    x = 11,681.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.