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Finding the Third Proportional to 30,223.13 and 43,026.19

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Solution

The third proportional to 30,223.13 and 43,026.19 is: 61,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.13 : 43,026.19 = 43,026.19 : x
  2. Step 2: Convert to fraction form
    30,223.13/43,026.19 = 43,026.19/x
  3. Step 3: Cross multiply
    30,223.13x = 43,026.19 × 43,026.19
  4. Step 4: Simplify right side
    30,223.13x = 1,851,252,810.79
  5. Step 5: Solve for x
    x = 1,851,252,810.79/30,223.13
  6. Step 6: Final answer
    x = 61,252.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.