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Finding the Third Proportional to 42,852 and 63,012

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Solution

The third proportional to 42,852 and 63,012 is: 92,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,852 : 63,012 = 63,012 : x
  2. Step 2: Convert to fraction form
    42,852/63,012 = 63,012/x
  3. Step 3: Cross multiply
    42,852x = 63,012 × 63,012
  4. Step 4: Simplify right side
    42,852x = 3,970,512,144
  5. Step 5: Solve for x
    x = 3,970,512,144/42,852
  6. Step 6: Final answer
    x = 92,656.40

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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.