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Finding the Third Proportional to 14,118.75 and 30,114

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Solution

The third proportional to 14,118.75 and 30,114 is: 64,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.75 : 30,114 = 30,114 : x
  2. Step 2: Convert to fraction form
    14,118.75/30,114 = 30,114/x
  3. Step 3: Cross multiply
    14,118.75x = 30,114 × 30,114
  4. Step 4: Simplify right side
    14,118.75x = 906,852,996
  5. Step 5: Solve for x
    x = 906,852,996/14,118.75
  6. Step 6: Final answer
    x = 64,230.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.