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Finding the Third Proportional to 38,992.50 and 58,228.50

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Solution

The third proportional to 38,992.50 and 58,228.50 is: 86,954.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992.50 : 58,228.50 = 58,228.50 : x
  2. Step 2: Convert to fraction form
    38,992.50/58,228.50 = 58,228.50/x
  3. Step 3: Cross multiply
    38,992.50x = 58,228.50 × 58,228.50
  4. Step 4: Simplify right side
    38,992.50x = 3,390,558,212.25
  5. Step 5: Solve for x
    x = 3,390,558,212.25/38,992.50
  6. Step 6: Final answer
    x = 86,954.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.