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Finding the Third Proportional to 43,216 and 64,868

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Solution

The third proportional to 43,216 and 64,868 is: 97,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,216 : 64,868 = 64,868 : x
  2. Step 2: Convert to fraction form
    43,216/64,868 = 64,868/x
  3. Step 3: Cross multiply
    43,216x = 64,868 × 64,868
  4. Step 4: Simplify right side
    43,216x = 4,207,857,424
  5. Step 5: Solve for x
    x = 4,207,857,424/43,216
  6. Step 6: Final answer
    x = 97,368.04

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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.