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Finding the Third Proportional to 38,094.50 and 58,109

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Solution

The third proportional to 38,094.50 and 58,109 is: 88,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094.50 : 58,109 = 58,109 : x
  2. Step 2: Convert to fraction form
    38,094.50/58,109 = 58,109/x
  3. Step 3: Cross multiply
    38,094.50x = 58,109 × 58,109
  4. Step 4: Simplify right side
    38,094.50x = 3,376,655,881
  5. Step 5: Solve for x
    x = 3,376,655,881/38,094.50
  6. Step 6: Final answer
    x = 88,638.93

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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.