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Finding the Third Proportional to 40,960 and 86,877

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Solution

The third proportional to 40,960 and 86,877 is: 184,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,960 : 86,877 = 86,877 : x
  2. Step 2: Convert to fraction form
    40,960/86,877 = 86,877/x
  3. Step 3: Cross multiply
    40,960x = 86,877 × 86,877
  4. Step 4: Simplify right side
    40,960x = 7,547,613,129
  5. Step 5: Solve for x
    x = 7,547,613,129/40,960
  6. Step 6: Final answer
    x = 184,267.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.