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Finding the Third Proportional to 8,884.69 and 15,496.95

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Solution

The third proportional to 8,884.69 and 15,496.95 is: 27,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.69 : 15,496.95 = 15,496.95 : x
  2. Step 2: Convert to fraction form
    8,884.69/15,496.95 = 15,496.95/x
  3. Step 3: Cross multiply
    8,884.69x = 15,496.95 × 15,496.95
  4. Step 4: Simplify right side
    8,884.69x = 240,155,314.02
  5. Step 5: Solve for x
    x = 240,155,314.02/8,884.69
  6. Step 6: Final answer
    x = 27,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.