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Finding the Third Proportional to 19,701.47 and 42,751.97

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Solution

The third proportional to 19,701.47 and 42,751.97 is: 92,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.47 : 42,751.97 = 42,751.97 : x
  2. Step 2: Convert to fraction form
    19,701.47/42,751.97 = 42,751.97/x
  3. Step 3: Cross multiply
    19,701.47x = 42,751.97 × 42,751.97
  4. Step 4: Simplify right side
    19,701.47x = 1,827,730,832.00
  5. Step 5: Solve for x
    x = 1,827,730,832.00/19,701.47
  6. Step 6: Final answer
    x = 92,771.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.