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Finding the Third Proportional to 38,712 and 84,804

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Solution

The third proportional to 38,712 and 84,804 is: 185,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,712 : 84,804 = 84,804 : x
  2. Step 2: Convert to fraction form
    38,712/84,804 = 84,804/x
  3. Step 3: Cross multiply
    38,712x = 84,804 × 84,804
  4. Step 4: Simplify right side
    38,712x = 7,191,718,416
  5. Step 5: Solve for x
    x = 7,191,718,416/38,712
  6. Step 6: Final answer
    x = 185,774.91

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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.