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Finding the Third Proportional to 10,314.84 and 22,600.27

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Solution

The third proportional to 10,314.84 and 22,600.27 is: 49,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.84 : 22,600.27 = 22,600.27 : x
  2. Step 2: Convert to fraction form
    10,314.84/22,600.27 = 22,600.27/x
  3. Step 3: Cross multiply
    10,314.84x = 22,600.27 × 22,600.27
  4. Step 4: Simplify right side
    10,314.84x = 510,772,006.32
  5. Step 5: Solve for x
    x = 510,772,006.32/10,314.84
  6. Step 6: Final answer
    x = 49,518.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.