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Finding the Third Proportional to 38,561.50 and 58,328

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Solution

The third proportional to 38,561.50 and 58,328 is: 88,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,561.50 : 58,328 = 58,328 : x
  2. Step 2: Convert to fraction form
    38,561.50/58,328 = 58,328/x
  3. Step 3: Cross multiply
    38,561.50x = 58,328 × 58,328
  4. Step 4: Simplify right side
    38,561.50x = 3,402,155,584
  5. Step 5: Solve for x
    x = 3,402,155,584/38,561.50
  6. Step 6: Final answer
    x = 88,226.74

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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.