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Finding the Third Proportional to 9,978.19 and 15,506.44

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Solution

The third proportional to 9,978.19 and 15,506.44 is: 24,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.19 : 15,506.44 = 15,506.44 : x
  2. Step 2: Convert to fraction form
    9,978.19/15,506.44 = 15,506.44/x
  3. Step 3: Cross multiply
    9,978.19x = 15,506.44 × 15,506.44
  4. Step 4: Simplify right side
    9,978.19x = 240,449,603.94
  5. Step 5: Solve for x
    x = 240,449,603.94/9,978.19
  6. Step 6: Final answer
    x = 24,097.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.