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Finding the Third Proportional to 6,854.25 and 14,644.50

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Solution

The third proportional to 6,854.25 and 14,644.50 is: 31,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.25 : 14,644.50 = 14,644.50 : x
  2. Step 2: Convert to fraction form
    6,854.25/14,644.50 = 14,644.50/x
  3. Step 3: Cross multiply
    6,854.25x = 14,644.50 × 14,644.50
  4. Step 4: Simplify right side
    6,854.25x = 214,461,380.25
  5. Step 5: Solve for x
    x = 214,461,380.25/6,854.25
  6. Step 6: Final answer
    x = 31,288.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.