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Finding the Third Proportional to 43,017 and 63,114.75

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Solution

The third proportional to 43,017 and 63,114.75 is: 92,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,017 : 63,114.75 = 63,114.75 : x
  2. Step 2: Convert to fraction form
    43,017/63,114.75 = 63,114.75/x
  3. Step 3: Cross multiply
    43,017x = 63,114.75 × 63,114.75
  4. Step 4: Simplify right side
    43,017x = 3,983,471,667.56
  5. Step 5: Solve for x
    x = 3,983,471,667.56/43,017
  6. Step 6: Final answer
    x = 92,602.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.