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Finding the Third Proportional to 10,543.50 and 22,767.75

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Solution

The third proportional to 10,543.50 and 22,767.75 is: 49,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.50 : 22,767.75 = 22,767.75 : x
  2. Step 2: Convert to fraction form
    10,543.50/22,767.75 = 22,767.75/x
  3. Step 3: Cross multiply
    10,543.50x = 22,767.75 × 22,767.75
  4. Step 4: Simplify right side
    10,543.50x = 518,370,440.06
  5. Step 5: Solve for x
    x = 518,370,440.06/10,543.50
  6. Step 6: Final answer
    x = 49,164.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.