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Finding the Third Proportional to 7,210.75 and 15,498.75

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Solution

The third proportional to 7,210.75 and 15,498.75 is: 33,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.75 : 15,498.75 = 15,498.75 : x
  2. Step 2: Convert to fraction form
    7,210.75/15,498.75 = 15,498.75/x
  3. Step 3: Cross multiply
    7,210.75x = 15,498.75 × 15,498.75
  4. Step 4: Simplify right side
    7,210.75x = 240,211,251.56
  5. Step 5: Solve for x
    x = 240,211,251.56/7,210.75
  6. Step 6: Final answer
    x = 33,312.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.