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Finding the Third Proportional to 46,302.19 and 71,377.31

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Solution

The third proportional to 46,302.19 and 71,377.31 is: 110,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302.19 : 71,377.31 = 71,377.31 : x
  2. Step 2: Convert to fraction form
    46,302.19/71,377.31 = 71,377.31/x
  3. Step 3: Cross multiply
    46,302.19x = 71,377.31 × 71,377.31
  4. Step 4: Simplify right side
    46,302.19x = 5,094,720,739.72
  5. Step 5: Solve for x
    x = 5,094,720,739.72/46,302.19
  6. Step 6: Final answer
    x = 110,031.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.