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Finding the Third Proportional to 6,810.75 and 7,813.13

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Solution

The third proportional to 6,810.75 and 7,813.13 is: 8,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.75 : 7,813.13 = 7,813.13 : x
  2. Step 2: Convert to fraction form
    6,810.75/7,813.13 = 7,813.13/x
  3. Step 3: Cross multiply
    6,810.75x = 7,813.13 × 7,813.13
  4. Step 4: Simplify right side
    6,810.75x = 61,044,922.27
  5. Step 5: Solve for x
    x = 61,044,922.27/6,810.75
  6. Step 6: Final answer
    x = 8,963.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.