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Finding the Third Proportional to 38,768.63 and 61,494.19

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Solution

The third proportional to 38,768.63 and 61,494.19 is: 97,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768.63 : 61,494.19 = 61,494.19 : x
  2. Step 2: Convert to fraction form
    38,768.63/61,494.19 = 61,494.19/x
  3. Step 3: Cross multiply
    38,768.63x = 61,494.19 × 61,494.19
  4. Step 4: Simplify right side
    38,768.63x = 3,781,535,096.29
  5. Step 5: Solve for x
    x = 3,781,535,096.29/38,768.63
  6. Step 6: Final answer
    x = 97,541.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.