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Finding the Third Proportional to 30,247.17 and 66,448.16

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Solution

The third proportional to 30,247.17 and 66,448.16 is: 145,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,247.17 : 66,448.16 = 66,448.16 : x
  2. Step 2: Convert to fraction form
    30,247.17/66,448.16 = 66,448.16/x
  3. Step 3: Cross multiply
    30,247.17x = 66,448.16 × 66,448.16
  4. Step 4: Simplify right side
    30,247.17x = 4,415,357,988.15
  5. Step 5: Solve for x
    x = 4,415,357,988.15/30,247.17
  6. Step 6: Final answer
    x = 145,975.90

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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.