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Finding the Third Proportional to 38,154.75 and 58,370.63

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Solution

The third proportional to 38,154.75 and 58,370.63 is: 89,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.75 : 58,370.63 = 58,370.63 : x
  2. Step 2: Convert to fraction form
    38,154.75/58,370.63 = 58,370.63/x
  3. Step 3: Cross multiply
    38,154.75x = 58,370.63 × 58,370.63
  4. Step 4: Simplify right side
    38,154.75x = 3,407,129,862.89
  5. Step 5: Solve for x
    x = 3,407,129,862.89/38,154.75
  6. Step 6: Final answer
    x = 89,297.66

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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.