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Finding the Third Proportional to 22,875.75 and 35,020.69

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Solution

The third proportional to 22,875.75 and 35,020.69 is: 53,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875.75 : 35,020.69 = 35,020.69 : x
  2. Step 2: Convert to fraction form
    22,875.75/35,020.69 = 35,020.69/x
  3. Step 3: Cross multiply
    22,875.75x = 35,020.69 × 35,020.69
  4. Step 4: Simplify right side
    22,875.75x = 1,226,448,552.97
  5. Step 5: Solve for x
    x = 1,226,448,552.97/22,875.75
  6. Step 6: Final answer
    x = 53,613.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.