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Finding the Third Proportional to 43,248 and 64,872

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Solution

The third proportional to 43,248 and 64,872 is: 97,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,248 : 64,872 = 64,872 : x
  2. Step 2: Convert to fraction form
    43,248/64,872 = 64,872/x
  3. Step 3: Cross multiply
    43,248x = 64,872 × 64,872
  4. Step 4: Simplify right side
    43,248x = 4,208,376,384
  5. Step 5: Solve for x
    x = 4,208,376,384/43,248
  6. Step 6: Final answer
    x = 97,308

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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.