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Finding the Third Proportional to 11,258.16 and 17,660.53

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Solution

The third proportional to 11,258.16 and 17,660.53 is: 27,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,258.16 : 17,660.53 = 17,660.53 : x
  2. Step 2: Convert to fraction form
    11,258.16/17,660.53 = 17,660.53/x
  3. Step 3: Cross multiply
    11,258.16x = 17,660.53 × 17,660.53
  4. Step 4: Simplify right side
    11,258.16x = 311,894,364.03
  5. Step 5: Solve for x
    x = 311,894,364.03/11,258.16
  6. Step 6: Final answer
    x = 27,703.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.