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Finding the Third Proportional to 30,695.50 and 66,114.13

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Solution

The third proportional to 30,695.50 and 66,114.13 is: 142,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.50 : 66,114.13 = 66,114.13 : x
  2. Step 2: Convert to fraction form
    30,695.50/66,114.13 = 66,114.13/x
  3. Step 3: Cross multiply
    30,695.50x = 66,114.13 × 66,114.13
  4. Step 4: Simplify right side
    30,695.50x = 4,371,077,524.52
  5. Step 5: Solve for x
    x = 4,371,077,524.52/30,695.50
  6. Step 6: Final answer
    x = 142,401.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.