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Finding the Third Proportional to 4,565 and 10,045

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Solution

The third proportional to 4,565 and 10,045 is: 22,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 10,045 = 10,045 : x
  2. Step 2: Convert to fraction form
    4,565/10,045 = 10,045/x
  3. Step 3: Cross multiply
    4,565x = 10,045 × 10,045
  4. Step 4: Simplify right side
    4,565x = 100,902,025
  5. Step 5: Solve for x
    x = 100,902,025/4,565
  6. Step 6: Final answer
    x = 22,103.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.