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Finding the Third Proportional to 22,602.80 and 49,098.34

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Solution

The third proportional to 22,602.80 and 49,098.34 is: 106,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.80 : 49,098.34 = 49,098.34 : x
  2. Step 2: Convert to fraction form
    22,602.80/49,098.34 = 49,098.34/x
  3. Step 3: Cross multiply
    22,602.80x = 49,098.34 × 49,098.34
  4. Step 4: Simplify right side
    22,602.80x = 2,410,646,975.41
  5. Step 5: Solve for x
    x = 2,410,646,975.41/22,602.80
  6. Step 6: Final answer
    x = 106,652.60

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Why These Related Problems?

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