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Finding the Third Proportional to 20,243 and 42,686.50

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Solution

The third proportional to 20,243 and 42,686.50 is: 90,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243 : 42,686.50 = 42,686.50 : x
  2. Step 2: Convert to fraction form
    20,243/42,686.50 = 42,686.50/x
  3. Step 3: Cross multiply
    20,243x = 42,686.50 × 42,686.50
  4. Step 4: Simplify right side
    20,243x = 1,822,137,282.25
  5. Step 5: Solve for x
    x = 1,822,137,282.25/20,243
  6. Step 6: Final answer
    x = 90,013.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.