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Finding the Third Proportional to 38,602.50 and 58,318.50

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Solution

The third proportional to 38,602.50 and 58,318.50 is: 88,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602.50 : 58,318.50 = 58,318.50 : x
  2. Step 2: Convert to fraction form
    38,602.50/58,318.50 = 58,318.50/x
  3. Step 3: Cross multiply
    38,602.50x = 58,318.50 × 58,318.50
  4. Step 4: Simplify right side
    38,602.50x = 3,401,047,442.25
  5. Step 5: Solve for x
    x = 3,401,047,442.25/38,602.50
  6. Step 6: Final answer
    x = 88,104.33

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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.