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Finding the Third Proportional to 20,142 and 46,622.25

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Solution

The third proportional to 20,142 and 46,622.25 is: 107,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 46,622.25 = 46,622.25 : x
  2. Step 2: Convert to fraction form
    20,142/46,622.25 = 46,622.25/x
  3. Step 3: Cross multiply
    20,142x = 46,622.25 × 46,622.25
  4. Step 4: Simplify right side
    20,142x = 2,173,634,195.06
  5. Step 5: Solve for x
    x = 2,173,634,195.06/20,142
  6. Step 6: Final answer
    x = 107,915.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.