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Finding the Third Proportional to 9,569 and 21,091

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Solution

The third proportional to 9,569 and 21,091 is: 46,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569 : 21,091 = 21,091 : x
  2. Step 2: Convert to fraction form
    9,569/21,091 = 21,091/x
  3. Step 3: Cross multiply
    9,569x = 21,091 × 21,091
  4. Step 4: Simplify right side
    9,569x = 444,830,281
  5. Step 5: Solve for x
    x = 444,830,281/9,569
  6. Step 6: Final answer
    x = 46,486.60

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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.