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Finding the Third Proportional to 48,798 and 72,785.25

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Solution

The third proportional to 48,798 and 72,785.25 is: 108,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,798 : 72,785.25 = 72,785.25 : x
  2. Step 2: Convert to fraction form
    48,798/72,785.25 = 72,785.25/x
  3. Step 3: Cross multiply
    48,798x = 72,785.25 × 72,785.25
  4. Step 4: Simplify right side
    48,798x = 5,297,692,617.56
  5. Step 5: Solve for x
    x = 5,297,692,617.56/48,798
  6. Step 6: Final answer
    x = 108,563.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.