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Finding the Third Proportional to 7,913.95 and 12,531.59

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Solution

The third proportional to 7,913.95 and 12,531.59 is: 19,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.95 : 12,531.59 = 12,531.59 : x
  2. Step 2: Convert to fraction form
    7,913.95/12,531.59 = 12,531.59/x
  3. Step 3: Cross multiply
    7,913.95x = 12,531.59 × 12,531.59
  4. Step 4: Simplify right side
    7,913.95x = 157,040,646.11
  5. Step 5: Solve for x
    x = 157,040,646.11/7,913.95
  6. Step 6: Final answer
    x = 19,843.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.