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Finding the Third Proportional to 20,103.61 and 42,968.11

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Solution

The third proportional to 20,103.61 and 42,968.11 is: 91,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.61 : 42,968.11 = 42,968.11 : x
  2. Step 2: Convert to fraction form
    20,103.61/42,968.11 = 42,968.11/x
  3. Step 3: Cross multiply
    20,103.61x = 42,968.11 × 42,968.11
  4. Step 4: Simplify right side
    20,103.61x = 1,846,258,423.26
  5. Step 5: Solve for x
    x = 1,846,258,423.26/20,103.61
  6. Step 6: Final answer
    x = 91,837.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.