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Finding the Third Proportional to 23,545.69 and 35,533.69

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Solution

The third proportional to 23,545.69 and 35,533.69 is: 53,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,545.69 : 35,533.69 = 35,533.69 : x
  2. Step 2: Convert to fraction form
    23,545.69/35,533.69 = 35,533.69/x
  3. Step 3: Cross multiply
    23,545.69x = 35,533.69 × 35,533.69
  4. Step 4: Simplify right side
    23,545.69x = 1,262,642,947.35
  5. Step 5: Solve for x
    x = 1,262,642,947.35/23,545.69
  6. Step 6: Final answer
    x = 53,625.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.