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Finding the Third Proportional to 22,120.50 and 48,128.63

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Solution

The third proportional to 22,120.50 and 48,128.63 is: 104,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120.50 : 48,128.63 = 48,128.63 : x
  2. Step 2: Convert to fraction form
    22,120.50/48,128.63 = 48,128.63/x
  3. Step 3: Cross multiply
    22,120.50x = 48,128.63 × 48,128.63
  4. Step 4: Simplify right side
    22,120.50x = 2,316,364,544.39
  5. Step 5: Solve for x
    x = 2,316,364,544.39/22,120.50
  6. Step 6: Final answer
    x = 104,715.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.