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Finding the Third Proportional to 15,813.04 and 24,475.61

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Solution

The third proportional to 15,813.04 and 24,475.61 is: 37,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.04 : 24,475.61 = 24,475.61 : x
  2. Step 2: Convert to fraction form
    15,813.04/24,475.61 = 24,475.61/x
  3. Step 3: Cross multiply
    15,813.04x = 24,475.61 × 24,475.61
  4. Step 4: Simplify right side
    15,813.04x = 599,055,263.06
  5. Step 5: Solve for x
    x = 599,055,263.06/15,813.04
  6. Step 6: Final answer
    x = 37,883.64

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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.