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Finding the Third Proportional to 10,509.75 and 22,568.63

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Solution

The third proportional to 10,509.75 and 22,568.63 is: 48,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.75 : 22,568.63 = 22,568.63 : x
  2. Step 2: Convert to fraction form
    10,509.75/22,568.63 = 22,568.63/x
  3. Step 3: Cross multiply
    10,509.75x = 22,568.63 × 22,568.63
  4. Step 4: Simplify right side
    10,509.75x = 509,342,834.39
  5. Step 5: Solve for x
    x = 509,342,834.39/10,509.75
  6. Step 6: Final answer
    x = 48,463.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.