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Finding the Third Proportional to 7,203.25 and 15,405.50

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Solution

The third proportional to 7,203.25 and 15,405.50 is: 32,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.25 : 15,405.50 = 15,405.50 : x
  2. Step 2: Convert to fraction form
    7,203.25/15,405.50 = 15,405.50/x
  3. Step 3: Cross multiply
    7,203.25x = 15,405.50 × 15,405.50
  4. Step 4: Simplify right side
    7,203.25x = 237,329,430.25
  5. Step 5: Solve for x
    x = 237,329,430.25/7,203.25
  6. Step 6: Final answer
    x = 32,947.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.