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Finding the Third Proportional to 3,895.59 and 9,260.58

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Solution

The third proportional to 3,895.59 and 9,260.58 is: 22,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.59 : 9,260.58 = 9,260.58 : x
  2. Step 2: Convert to fraction form
    3,895.59/9,260.58 = 9,260.58/x
  3. Step 3: Cross multiply
    3,895.59x = 9,260.58 × 9,260.58
  4. Step 4: Simplify right side
    3,895.59x = 85,758,307.21
  5. Step 5: Solve for x
    x = 85,758,307.21/3,895.59
  6. Step 6: Final answer
    x = 22,014.18

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.