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Finding the Third Proportional to 10,720.69 and 15,924.94

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Solution

The third proportional to 10,720.69 and 15,924.94 is: 23,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.69 : 15,924.94 = 15,924.94 : x
  2. Step 2: Convert to fraction form
    10,720.69/15,924.94 = 15,924.94/x
  3. Step 3: Cross multiply
    10,720.69x = 15,924.94 × 15,924.94
  4. Step 4: Simplify right side
    10,720.69x = 253,603,634.38
  5. Step 5: Solve for x
    x = 253,603,634.38/10,720.69
  6. Step 6: Final answer
    x = 23,655.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.