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Finding the Third Proportional to 9,890 and 21,764

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Solution

The third proportional to 9,890 and 21,764 is: 47,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890 : 21,764 = 21,764 : x
  2. Step 2: Convert to fraction form
    9,890/21,764 = 21,764/x
  3. Step 3: Cross multiply
    9,890x = 21,764 × 21,764
  4. Step 4: Simplify right side
    9,890x = 473,671,696
  5. Step 5: Solve for x
    x = 473,671,696/9,890
  6. Step 6: Final answer
    x = 47,894.00

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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.