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Finding the Third Proportional to 22,283.44 and 44,931.38

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Solution

The third proportional to 22,283.44 and 44,931.38 is: 90,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.44 : 44,931.38 = 44,931.38 : x
  2. Step 2: Convert to fraction form
    22,283.44/44,931.38 = 44,931.38/x
  3. Step 3: Cross multiply
    22,283.44x = 44,931.38 × 44,931.38
  4. Step 4: Simplify right side
    22,283.44x = 2,018,828,459.39
  5. Step 5: Solve for x
    x = 2,018,828,459.39/22,283.44
  6. Step 6: Final answer
    x = 90,597.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.