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Finding the Third Proportional to 12,962.53 and 20,935.97

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Solution

The third proportional to 12,962.53 and 20,935.97 is: 33,813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.53 : 20,935.97 = 20,935.97 : x
  2. Step 2: Convert to fraction form
    12,962.53/20,935.97 = 20,935.97/x
  3. Step 3: Cross multiply
    12,962.53x = 20,935.97 × 20,935.97
  4. Step 4: Simplify right side
    12,962.53x = 438,314,787.50
  5. Step 5: Solve for x
    x = 438,314,787.50/12,962.53
  6. Step 6: Final answer
    x = 33,813.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.