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Finding the Third Proportional to 10,258.50 and 24,203

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Solution

The third proportional to 10,258.50 and 24,203 is: 57,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.50 : 24,203 = 24,203 : x
  2. Step 2: Convert to fraction form
    10,258.50/24,203 = 24,203/x
  3. Step 3: Cross multiply
    10,258.50x = 24,203 × 24,203
  4. Step 4: Simplify right side
    10,258.50x = 585,785,209
  5. Step 5: Solve for x
    x = 585,785,209/10,258.50
  6. Step 6: Final answer
    x = 57,102.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.