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Finding the Third Proportional to 9,964 and 16,566

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Solution

The third proportional to 9,964 and 16,566 is: 27,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 16,566 = 16,566 : x
  2. Step 2: Convert to fraction form
    9,964/16,566 = 16,566/x
  3. Step 3: Cross multiply
    9,964x = 16,566 × 16,566
  4. Step 4: Simplify right side
    9,964x = 274,432,356
  5. Step 5: Solve for x
    x = 274,432,356/9,964
  6. Step 6: Final answer
    x = 27,542.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.