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Finding the Third Proportional to 19,228.31 and 29,108.06

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Solution

The third proportional to 19,228.31 and 29,108.06 is: 44,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,228.31 : 29,108.06 = 29,108.06 : x
  2. Step 2: Convert to fraction form
    19,228.31/29,108.06 = 29,108.06/x
  3. Step 3: Cross multiply
    19,228.31x = 29,108.06 × 29,108.06
  4. Step 4: Simplify right side
    19,228.31x = 847,279,302.50
  5. Step 5: Solve for x
    x = 847,279,302.50/19,228.31
  6. Step 6: Final answer
    x = 44,064.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.