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Finding the Third Proportional to 23,014.76 and 38,853.42

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Solution

The third proportional to 23,014.76 and 38,853.42 is: 65,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.76 : 38,853.42 = 38,853.42 : x
  2. Step 2: Convert to fraction form
    23,014.76/38,853.42 = 38,853.42/x
  3. Step 3: Cross multiply
    23,014.76x = 38,853.42 × 38,853.42
  4. Step 4: Simplify right side
    23,014.76x = 1,509,588,391.40
  5. Step 5: Solve for x
    x = 1,509,588,391.40/23,014.76
  6. Step 6: Final answer
    x = 65,592.19

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.