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Finding the Third Proportional to 7,329 and 17,281.50

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Solution

The third proportional to 7,329 and 17,281.50 is: 40,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329 : 17,281.50 = 17,281.50 : x
  2. Step 2: Convert to fraction form
    7,329/17,281.50 = 17,281.50/x
  3. Step 3: Cross multiply
    7,329x = 17,281.50 × 17,281.50
  4. Step 4: Simplify right side
    7,329x = 298,650,242.25
  5. Step 5: Solve for x
    x = 298,650,242.25/7,329
  6. Step 6: Final answer
    x = 40,749.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.