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Finding the Third Proportional to 19,820.25 and 29,073.38

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Solution

The third proportional to 19,820.25 and 29,073.38 is: 42,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.25 : 29,073.38 = 29,073.38 : x
  2. Step 2: Convert to fraction form
    19,820.25/29,073.38 = 29,073.38/x
  3. Step 3: Cross multiply
    19,820.25x = 29,073.38 × 29,073.38
  4. Step 4: Simplify right side
    19,820.25x = 845,261,133.89
  5. Step 5: Solve for x
    x = 845,261,133.89/19,820.25
  6. Step 6: Final answer
    x = 42,646.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.