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Finding the Third Proportional to 18,937 and 29,641.50

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Solution

The third proportional to 18,937 and 29,641.50 is: 46,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,937 : 29,641.50 = 29,641.50 : x
  2. Step 2: Convert to fraction form
    18,937/29,641.50 = 29,641.50/x
  3. Step 3: Cross multiply
    18,937x = 29,641.50 × 29,641.50
  4. Step 4: Simplify right side
    18,937x = 878,618,522.25
  5. Step 5: Solve for x
    x = 878,618,522.25/18,937
  6. Step 6: Final answer
    x = 46,396.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.