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Finding the Third Proportional to 10,559.11 and 22,955.91

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Solution

The third proportional to 10,559.11 and 22,955.91 is: 49,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.11 : 22,955.91 = 22,955.91 : x
  2. Step 2: Convert to fraction form
    10,559.11/22,955.91 = 22,955.91/x
  3. Step 3: Cross multiply
    10,559.11x = 22,955.91 × 22,955.91
  4. Step 4: Simplify right side
    10,559.11x = 526,973,631.76
  5. Step 5: Solve for x
    x = 526,973,631.76/10,559.11
  6. Step 6: Final answer
    x = 49,907.02

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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.