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Finding the Third Proportional to 38,577 and 84,363

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Solution

The third proportional to 38,577 and 84,363 is: 184,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,577 : 84,363 = 84,363 : x
  2. Step 2: Convert to fraction form
    38,577/84,363 = 84,363/x
  3. Step 3: Cross multiply
    38,577x = 84,363 × 84,363
  4. Step 4: Simplify right side
    38,577x = 7,117,115,769
  5. Step 5: Solve for x
    x = 7,117,115,769/38,577
  6. Step 6: Final answer
    x = 184,491.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.