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Finding the Third Proportional to 7,330.75 and 15,795.50

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Solution

The third proportional to 7,330.75 and 15,795.50 is: 34,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.75 : 15,795.50 = 15,795.50 : x
  2. Step 2: Convert to fraction form
    7,330.75/15,795.50 = 15,795.50/x
  3. Step 3: Cross multiply
    7,330.75x = 15,795.50 × 15,795.50
  4. Step 4: Simplify right side
    7,330.75x = 249,497,820.25
  5. Step 5: Solve for x
    x = 249,497,820.25/7,330.75
  6. Step 6: Final answer
    x = 34,034.42

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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.