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Finding the Third Proportional to 30,034.93 and 66,065.13

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Solution

The third proportional to 30,034.93 and 66,065.13 is: 145,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.93 : 66,065.13 = 66,065.13 : x
  2. Step 2: Convert to fraction form
    30,034.93/66,065.13 = 66,065.13/x
  3. Step 3: Cross multiply
    30,034.93x = 66,065.13 × 66,065.13
  4. Step 4: Simplify right side
    30,034.93x = 4,364,601,773.53
  5. Step 5: Solve for x
    x = 4,364,601,773.53/30,034.93
  6. Step 6: Final answer
    x = 145,317.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.