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Finding the Third Proportional to 7,779 and 11,320.50

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Solution

The third proportional to 7,779 and 11,320.50 is: 16,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779 : 11,320.50 = 11,320.50 : x
  2. Step 2: Convert to fraction form
    7,779/11,320.50 = 11,320.50/x
  3. Step 3: Cross multiply
    7,779x = 11,320.50 × 11,320.50
  4. Step 4: Simplify right side
    7,779x = 128,153,720.25
  5. Step 5: Solve for x
    x = 128,153,720.25/7,779
  6. Step 6: Final answer
    x = 16,474.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.