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Finding the Third Proportional to 5,943 and 14,017.50

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Solution

The third proportional to 5,943 and 14,017.50 is: 33,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943 : 14,017.50 = 14,017.50 : x
  2. Step 2: Convert to fraction form
    5,943/14,017.50 = 14,017.50/x
  3. Step 3: Cross multiply
    5,943x = 14,017.50 × 14,017.50
  4. Step 4: Simplify right side
    5,943x = 196,490,306.25
  5. Step 5: Solve for x
    x = 196,490,306.25/5,943
  6. Step 6: Final answer
    x = 33,062.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.