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Finding the Third Proportional to 9,045 and 21,783

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Solution

The third proportional to 9,045 and 21,783 is: 52,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045 : 21,783 = 21,783 : x
  2. Step 2: Convert to fraction form
    9,045/21,783 = 21,783/x
  3. Step 3: Cross multiply
    9,045x = 21,783 × 21,783
  4. Step 4: Simplify right side
    9,045x = 474,499,089
  5. Step 5: Solve for x
    x = 474,499,089/9,045
  6. Step 6: Final answer
    x = 52,459.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.