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Finding the Third Proportional to 4,650 and 9,779

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Solution

The third proportional to 4,650 and 9,779 is: 20,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650 : 9,779 = 9,779 : x
  2. Step 2: Convert to fraction form
    4,650/9,779 = 9,779/x
  3. Step 3: Cross multiply
    4,650x = 9,779 × 9,779
  4. Step 4: Simplify right side
    4,650x = 95,628,841
  5. Step 5: Solve for x
    x = 95,628,841/4,650
  6. Step 6: Final answer
    x = 20,565.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.