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Finding the Third Proportional to 38,461.08 and 58,204.83

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Solution

The third proportional to 38,461.08 and 58,204.83 is: 88,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,461.08 : 58,204.83 = 58,204.83 : x
  2. Step 2: Convert to fraction form
    38,461.08/58,204.83 = 58,204.83/x
  3. Step 3: Cross multiply
    38,461.08x = 58,204.83 × 58,204.83
  4. Step 4: Simplify right side
    38,461.08x = 3,387,802,017.06
  5. Step 5: Solve for x
    x = 3,387,802,017.06/38,461.08
  6. Step 6: Final answer
    x = 88,083.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.