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Finding the Third Proportional to 7,251 and 9,709.50

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Solution

The third proportional to 7,251 and 9,709.50 is: 13,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,251 : 9,709.50 = 9,709.50 : x
  2. Step 2: Convert to fraction form
    7,251/9,709.50 = 9,709.50/x
  3. Step 3: Cross multiply
    7,251x = 9,709.50 × 9,709.50
  4. Step 4: Simplify right side
    7,251x = 94,274,390.25
  5. Step 5: Solve for x
    x = 94,274,390.25/7,251
  6. Step 6: Final answer
    x = 13,001.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.