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Finding the Third Proportional to 2,405.95 and 3,531.09

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Solution

The third proportional to 2,405.95 and 3,531.09 is: 5,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.95 : 3,531.09 = 3,531.09 : x
  2. Step 2: Convert to fraction form
    2,405.95/3,531.09 = 3,531.09/x
  3. Step 3: Cross multiply
    2,405.95x = 3,531.09 × 3,531.09
  4. Step 4: Simplify right side
    2,405.95x = 12,468,623.07
  5. Step 5: Solve for x
    x = 12,468,623.07/2,405.95
  6. Step 6: Final answer
    x = 5,182.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.