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Finding the Third Proportional to 7,327 and 15,794.50

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Solution

The third proportional to 7,327 and 15,794.50 is: 34,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327 : 15,794.50 = 15,794.50 : x
  2. Step 2: Convert to fraction form
    7,327/15,794.50 = 15,794.50/x
  3. Step 3: Cross multiply
    7,327x = 15,794.50 × 15,794.50
  4. Step 4: Simplify right side
    7,327x = 249,466,230.25
  5. Step 5: Solve for x
    x = 249,466,230.25/7,327
  6. Step 6: Final answer
    x = 34,047.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.