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Finding the Third Proportional to 19,820.81 and 29,577.38

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Solution

The third proportional to 19,820.81 and 29,577.38 is: 44,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.81 : 29,577.38 = 29,577.38 : x
  2. Step 2: Convert to fraction form
    19,820.81/29,577.38 = 29,577.38/x
  3. Step 3: Cross multiply
    19,820.81x = 29,577.38 × 29,577.38
  4. Step 4: Simplify right side
    19,820.81x = 874,821,111.89
  5. Step 5: Solve for x
    x = 874,821,111.89/19,820.81
  6. Step 6: Final answer
    x = 44,136.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.