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Finding the Third Proportional to 45,246 and 65,817

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Solution

The third proportional to 45,246 and 65,817 is: 95,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,246 : 65,817 = 65,817 : x
  2. Step 2: Convert to fraction form
    45,246/65,817 = 65,817/x
  3. Step 3: Cross multiply
    45,246x = 65,817 × 65,817
  4. Step 4: Simplify right side
    45,246x = 4,331,877,489
  5. Step 5: Solve for x
    x = 4,331,877,489/45,246
  6. Step 6: Final answer
    x = 95,740.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.