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Finding the Third Proportional to 38,358 and 58,774.50

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Solution

The third proportional to 38,358 and 58,774.50 is: 90,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358 : 58,774.50 = 58,774.50 : x
  2. Step 2: Convert to fraction form
    38,358/58,774.50 = 58,774.50/x
  3. Step 3: Cross multiply
    38,358x = 58,774.50 × 58,774.50
  4. Step 4: Simplify right side
    38,358x = 3,454,441,850.25
  5. Step 5: Solve for x
    x = 3,454,441,850.25/38,358
  6. Step 6: Final answer
    x = 90,057.92

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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.