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Finding the Third Proportional to 15,973.97 and 24,184.83

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Solution

The third proportional to 15,973.97 and 24,184.83 is: 36,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973.97 : 24,184.83 = 24,184.83 : x
  2. Step 2: Convert to fraction form
    15,973.97/24,184.83 = 24,184.83/x
  3. Step 3: Cross multiply
    15,973.97x = 24,184.83 × 24,184.83
  4. Step 4: Simplify right side
    15,973.97x = 584,905,911.44
  5. Step 5: Solve for x
    x = 584,905,911.44/15,973.97
  6. Step 6: Final answer
    x = 36,616.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.