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Finding the Third Proportional to 19,878.86 and 29,222.02

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Solution

The third proportional to 19,878.86 and 29,222.02 is: 42,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.86 : 29,222.02 = 29,222.02 : x
  2. Step 2: Convert to fraction form
    19,878.86/29,222.02 = 29,222.02/x
  3. Step 3: Cross multiply
    19,878.86x = 29,222.02 × 29,222.02
  4. Step 4: Simplify right side
    19,878.86x = 853,926,197.19
  5. Step 5: Solve for x
    x = 853,926,197.19/19,878.86
  6. Step 6: Final answer
    x = 42,956.51

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