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Finding the Third Proportional to 9,854 and 21,592

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Solution

The third proportional to 9,854 and 21,592 is: 47,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854 : 21,592 = 21,592 : x
  2. Step 2: Convert to fraction form
    9,854/21,592 = 21,592/x
  3. Step 3: Cross multiply
    9,854x = 21,592 × 21,592
  4. Step 4: Simplify right side
    9,854x = 466,214,464
  5. Step 5: Solve for x
    x = 466,214,464/9,854
  6. Step 6: Final answer
    x = 47,312.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.