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Finding the Third Proportional to 38,229 and 58,345.50

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Solution

The third proportional to 38,229 and 58,345.50 is: 89,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229 : 58,345.50 = 58,345.50 : x
  2. Step 2: Convert to fraction form
    38,229/58,345.50 = 58,345.50/x
  3. Step 3: Cross multiply
    38,229x = 58,345.50 × 58,345.50
  4. Step 4: Simplify right side
    38,229x = 3,404,197,370.25
  5. Step 5: Solve for x
    x = 3,404,197,370.25/38,229
  6. Step 6: Final answer
    x = 89,047.51

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.