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Finding the Third Proportional to 10,023.75 and 15,584.06

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Solution

The third proportional to 10,023.75 and 15,584.06 is: 24,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.75 : 15,584.06 = 15,584.06 : x
  2. Step 2: Convert to fraction form
    10,023.75/15,584.06 = 15,584.06/x
  3. Step 3: Cross multiply
    10,023.75x = 15,584.06 × 15,584.06
  4. Step 4: Simplify right side
    10,023.75x = 242,863,004.00
  5. Step 5: Solve for x
    x = 242,863,004.00/10,023.75
  6. Step 6: Final answer
    x = 24,228.76

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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.