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Finding the Third Proportional to 9,964 and 22,724

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Solution

The third proportional to 9,964 and 22,724 is: 51,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 22,724 = 22,724 : x
  2. Step 2: Convert to fraction form
    9,964/22,724 = 22,724/x
  3. Step 3: Cross multiply
    9,964x = 22,724 × 22,724
  4. Step 4: Simplify right side
    9,964x = 516,380,176
  5. Step 5: Solve for x
    x = 516,380,176/9,964
  6. Step 6: Final answer
    x = 51,824.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.