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Finding the Third Proportional to 9,821 and 14,541

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Solution

The third proportional to 9,821 and 14,541 is: 21,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821 : 14,541 = 14,541 : x
  2. Step 2: Convert to fraction form
    9,821/14,541 = 14,541/x
  3. Step 3: Cross multiply
    9,821x = 14,541 × 14,541
  4. Step 4: Simplify right side
    9,821x = 211,440,681
  5. Step 5: Solve for x
    x = 211,440,681/9,821
  6. Step 6: Final answer
    x = 21,529.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.