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Finding the Third Proportional to 14,878.88 and 23,057.44

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Solution

The third proportional to 14,878.88 and 23,057.44 is: 35,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.88 : 23,057.44 = 23,057.44 : x
  2. Step 2: Convert to fraction form
    14,878.88/23,057.44 = 23,057.44/x
  3. Step 3: Cross multiply
    14,878.88x = 23,057.44 × 23,057.44
  4. Step 4: Simplify right side
    14,878.88x = 531,645,424.07
  5. Step 5: Solve for x
    x = 531,645,424.07/14,878.88
  6. Step 6: Final answer
    x = 35,731.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.