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Finding the Third Proportional to 21,711 and 28,678.50

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Solution

The third proportional to 21,711 and 28,678.50 is: 37,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711 : 28,678.50 = 28,678.50 : x
  2. Step 2: Convert to fraction form
    21,711/28,678.50 = 28,678.50/x
  3. Step 3: Cross multiply
    21,711x = 28,678.50 × 28,678.50
  4. Step 4: Simplify right side
    21,711x = 822,456,362.25
  5. Step 5: Solve for x
    x = 822,456,362.25/21,711
  6. Step 6: Final answer
    x = 37,882.01

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.