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Finding the Third Proportional to 24,398.50 and 53,259

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Solution

The third proportional to 24,398.50 and 53,259 is: 116,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,398.50 : 53,259 = 53,259 : x
  2. Step 2: Convert to fraction form
    24,398.50/53,259 = 53,259/x
  3. Step 3: Cross multiply
    24,398.50x = 53,259 × 53,259
  4. Step 4: Simplify right side
    24,398.50x = 2,836,521,081
  5. Step 5: Solve for x
    x = 2,836,521,081/24,398.50
  6. Step 6: Final answer
    x = 116,258.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.