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Finding the Third Proportional to 35,493.19 and 41,973.19

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Solution

The third proportional to 35,493.19 and 41,973.19 is: 49,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,493.19 : 41,973.19 = 41,973.19 : x
  2. Step 2: Convert to fraction form
    35,493.19/41,973.19 = 41,973.19/x
  3. Step 3: Cross multiply
    35,493.19x = 41,973.19 × 41,973.19
  4. Step 4: Simplify right side
    35,493.19x = 1,761,748,468.91
  5. Step 5: Solve for x
    x = 1,761,748,468.91/35,493.19
  6. Step 6: Final answer
    x = 49,636.24

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.