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Finding the Third Proportional to 20,139 and 46,642.50

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Solution

The third proportional to 20,139 and 46,642.50 is: 108,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139 : 46,642.50 = 46,642.50 : x
  2. Step 2: Convert to fraction form
    20,139/46,642.50 = 46,642.50/x
  3. Step 3: Cross multiply
    20,139x = 46,642.50 × 46,642.50
  4. Step 4: Simplify right side
    20,139x = 2,175,522,806.25
  5. Step 5: Solve for x
    x = 2,175,522,806.25/20,139
  6. Step 6: Final answer
    x = 108,025.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.