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Finding the Third Proportional to 29,203.66 and 45,751.71

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Solution

The third proportional to 29,203.66 and 45,751.71 is: 71,676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,203.66 : 45,751.71 = 45,751.71 : x
  2. Step 2: Convert to fraction form
    29,203.66/45,751.71 = 45,751.71/x
  3. Step 3: Cross multiply
    29,203.66x = 45,751.71 × 45,751.71
  4. Step 4: Simplify right side
    29,203.66x = 2,093,219,053.71
  5. Step 5: Solve for x
    x = 2,093,219,053.71/29,203.66
  6. Step 6: Final answer
    x = 71,676.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.