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Finding the Third Proportional to 9,798 and 21,540

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Solution

The third proportional to 9,798 and 21,540 is: 47,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798 : 21,540 = 21,540 : x
  2. Step 2: Convert to fraction form
    9,798/21,540 = 21,540/x
  3. Step 3: Cross multiply
    9,798x = 21,540 × 21,540
  4. Step 4: Simplify right side
    9,798x = 463,971,600
  5. Step 5: Solve for x
    x = 463,971,600/9,798
  6. Step 6: Final answer
    x = 47,353.70

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