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Finding the Third Proportional to 7,252 and 9,712.50

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Solution

The third proportional to 7,252 and 9,712.50 is: 13,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252 : 9,712.50 = 9,712.50 : x
  2. Step 2: Convert to fraction form
    7,252/9,712.50 = 9,712.50/x
  3. Step 3: Cross multiply
    7,252x = 9,712.50 × 9,712.50
  4. Step 4: Simplify right side
    7,252x = 94,332,656.25
  5. Step 5: Solve for x
    x = 94,332,656.25/7,252
  6. Step 6: Final answer
    x = 13,007.81

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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.