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Finding the Third Proportional to 12,258 and 23,233.50

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Solution

The third proportional to 12,258 and 23,233.50 is: 44,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258 : 23,233.50 = 23,233.50 : x
  2. Step 2: Convert to fraction form
    12,258/23,233.50 = 23,233.50/x
  3. Step 3: Cross multiply
    12,258x = 23,233.50 × 23,233.50
  4. Step 4: Simplify right side
    12,258x = 539,795,522.25
  5. Step 5: Solve for x
    x = 539,795,522.25/12,258
  6. Step 6: Final answer
    x = 44,036.18

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.