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Finding the Third Proportional to 6,915 and 10,951.50

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Solution

The third proportional to 6,915 and 10,951.50 is: 17,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915 : 10,951.50 = 10,951.50 : x
  2. Step 2: Convert to fraction form
    6,915/10,951.50 = 10,951.50/x
  3. Step 3: Cross multiply
    6,915x = 10,951.50 × 10,951.50
  4. Step 4: Simplify right side
    6,915x = 119,935,352.25
  5. Step 5: Solve for x
    x = 119,935,352.25/6,915
  6. Step 6: Final answer
    x = 17,344.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.