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Finding the Third Proportional to 9,789 and 23,091

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Solution

The third proportional to 9,789 and 23,091 is: 54,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789 : 23,091 = 23,091 : x
  2. Step 2: Convert to fraction form
    9,789/23,091 = 23,091/x
  3. Step 3: Cross multiply
    9,789x = 23,091 × 23,091
  4. Step 4: Simplify right side
    9,789x = 533,194,281
  5. Step 5: Solve for x
    x = 533,194,281/9,789
  6. Step 6: Final answer
    x = 54,468.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.