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Finding the Third Proportional to 19,497.94 and 29,421.38

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Solution

The third proportional to 19,497.94 and 29,421.38 is: 44,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.94 : 29,421.38 = 29,421.38 : x
  2. Step 2: Convert to fraction form
    19,497.94/29,421.38 = 29,421.38/x
  3. Step 3: Cross multiply
    19,497.94x = 29,421.38 × 29,421.38
  4. Step 4: Simplify right side
    19,497.94x = 865,617,306.89
  5. Step 5: Solve for x
    x = 865,617,306.89/19,497.94
  6. Step 6: Final answer
    x = 44,395.33

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