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Finding the Third Proportional to 14,116.78 and 30,671.16

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Solution

The third proportional to 14,116.78 and 30,671.16 is: 66,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.78 : 30,671.16 = 30,671.16 : x
  2. Step 2: Convert to fraction form
    14,116.78/30,671.16 = 30,671.16/x
  3. Step 3: Cross multiply
    14,116.78x = 30,671.16 × 30,671.16
  4. Step 4: Simplify right side
    14,116.78x = 940,719,825.71
  5. Step 5: Solve for x
    x = 940,719,825.71/14,116.78
  6. Step 6: Final answer
    x = 66,638.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.