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Finding the Third Proportional to 20,098 and 46,565

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Solution

The third proportional to 20,098 and 46,565 is: 107,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098 : 46,565 = 46,565 : x
  2. Step 2: Convert to fraction form
    20,098/46,565 = 46,565/x
  3. Step 3: Cross multiply
    20,098x = 46,565 × 46,565
  4. Step 4: Simplify right side
    20,098x = 2,168,299,225
  5. Step 5: Solve for x
    x = 2,168,299,225/20,098
  6. Step 6: Final answer
    x = 107,886.32

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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.