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Finding the Third Proportional to 15,119.16 and 23,458.36

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Solution

The third proportional to 15,119.16 and 23,458.36 is: 36,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,119.16 : 23,458.36 = 23,458.36 : x
  2. Step 2: Convert to fraction form
    15,119.16/23,458.36 = 23,458.36/x
  3. Step 3: Cross multiply
    15,119.16x = 23,458.36 × 23,458.36
  4. Step 4: Simplify right side
    15,119.16x = 550,294,624.57
  5. Step 5: Solve for x
    x = 550,294,624.57/15,119.16
  6. Step 6: Final answer
    x = 36,397.18

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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.