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Finding the Third Proportional to 29,511.69 and 42,172.37

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Solution

The third proportional to 29,511.69 and 42,172.37 is: 60,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,511.69 : 42,172.37 = 42,172.37 : x
  2. Step 2: Convert to fraction form
    29,511.69/42,172.37 = 42,172.37/x
  3. Step 3: Cross multiply
    29,511.69x = 42,172.37 × 42,172.37
  4. Step 4: Simplify right side
    29,511.69x = 1,778,508,389.46
  5. Step 5: Solve for x
    x = 1,778,508,389.46/29,511.69
  6. Step 6: Final answer
    x = 60,264.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.