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Finding the Third Proportional to 12,800.25 and 29,368.13

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Solution

The third proportional to 12,800.25 and 29,368.13 is: 67,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.25 : 29,368.13 = 29,368.13 : x
  2. Step 2: Convert to fraction form
    12,800.25/29,368.13 = 29,368.13/x
  3. Step 3: Cross multiply
    12,800.25x = 29,368.13 × 29,368.13
  4. Step 4: Simplify right side
    12,800.25x = 862,486,766.02
  5. Step 5: Solve for x
    x = 862,486,766.02/12,800.25
  6. Step 6: Final answer
    x = 67,380.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.