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Finding the Third Proportional to 38,709 and 56,570.25

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Solution

The third proportional to 38,709 and 56,570.25 is: 82,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709 : 56,570.25 = 56,570.25 : x
  2. Step 2: Convert to fraction form
    38,709/56,570.25 = 56,570.25/x
  3. Step 3: Cross multiply
    38,709x = 56,570.25 × 56,570.25
  4. Step 4: Simplify right side
    38,709x = 3,200,193,185.06
  5. Step 5: Solve for x
    x = 3,200,193,185.06/38,709
  6. Step 6: Final answer
    x = 82,673.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.