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Finding the Third Proportional to 4,999.69 and 10,614.38

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Solution

The third proportional to 4,999.69 and 10,614.38 is: 22,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.69 : 10,614.38 = 10,614.38 : x
  2. Step 2: Convert to fraction form
    4,999.69/10,614.38 = 10,614.38/x
  3. Step 3: Cross multiply
    4,999.69x = 10,614.38 × 10,614.38
  4. Step 4: Simplify right side
    4,999.69x = 112,664,956.64
  5. Step 5: Solve for x
    x = 112,664,956.64/4,999.69
  6. Step 6: Final answer
    x = 22,534.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.