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Finding the Third Proportional to 10,563 and 22,950.75

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Solution

The third proportional to 10,563 and 22,950.75 is: 49,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563 : 22,950.75 = 22,950.75 : x
  2. Step 2: Convert to fraction form
    10,563/22,950.75 = 22,950.75/x
  3. Step 3: Cross multiply
    10,563x = 22,950.75 × 22,950.75
  4. Step 4: Simplify right side
    10,563x = 526,736,925.56
  5. Step 5: Solve for x
    x = 526,736,925.56/10,563
  6. Step 6: Final answer
    x = 49,866.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.