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Finding the Third Proportional to 14,634 and 20,913.75

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Solution

The third proportional to 14,634 and 20,913.75 is: 29,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634 : 20,913.75 = 20,913.75 : x
  2. Step 2: Convert to fraction form
    14,634/20,913.75 = 20,913.75/x
  3. Step 3: Cross multiply
    14,634x = 20,913.75 × 20,913.75
  4. Step 4: Simplify right side
    14,634x = 437,384,939.06
  5. Step 5: Solve for x
    x = 437,384,939.06/14,634
  6. Step 6: Final answer
    x = 29,888.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.