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Finding the Third Proportional to 43,014 and 64,539

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Solution

The third proportional to 43,014 and 64,539 is: 96,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,014 : 64,539 = 64,539 : x
  2. Step 2: Convert to fraction form
    43,014/64,539 = 64,539/x
  3. Step 3: Cross multiply
    43,014x = 64,539 × 64,539
  4. Step 4: Simplify right side
    43,014x = 4,165,282,521
  5. Step 5: Solve for x
    x = 4,165,282,521/43,014
  6. Step 6: Final answer
    x = 96,835.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.