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Finding the Third Proportional to 9,307.41 and 18,147.80

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Solution

The third proportional to 9,307.41 and 18,147.80 is: 35,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.41 : 18,147.80 = 18,147.80 : x
  2. Step 2: Convert to fraction form
    9,307.41/18,147.80 = 18,147.80/x
  3. Step 3: Cross multiply
    9,307.41x = 18,147.80 × 18,147.80
  4. Step 4: Simplify right side
    9,307.41x = 329,342,531.42
  5. Step 5: Solve for x
    x = 329,342,531.42/9,307.41
  6. Step 6: Final answer
    x = 35,385.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.