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Finding the Third Proportional to 9,882.75 and 21,709.50

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Solution

The third proportional to 9,882.75 and 21,709.50 is: 47,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.75 : 21,709.50 = 21,709.50 : x
  2. Step 2: Convert to fraction form
    9,882.75/21,709.50 = 21,709.50/x
  3. Step 3: Cross multiply
    9,882.75x = 21,709.50 × 21,709.50
  4. Step 4: Simplify right side
    9,882.75x = 471,302,390.25
  5. Step 5: Solve for x
    x = 471,302,390.25/9,882.75
  6. Step 6: Final answer
    x = 47,689.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.