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Finding the Third Proportional to 46,929.38 and 71,555.91

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Solution

The third proportional to 46,929.38 and 71,555.91 is: 109,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,929.38 : 71,555.91 = 71,555.91 : x
  2. Step 2: Convert to fraction form
    46,929.38/71,555.91 = 71,555.91/x
  3. Step 3: Cross multiply
    46,929.38x = 71,555.91 × 71,555.91
  4. Step 4: Simplify right side
    46,929.38x = 5,120,247,719.26
  5. Step 5: Solve for x
    x = 5,120,247,719.26/46,929.38
  6. Step 6: Final answer
    x = 109,105.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.