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Finding the Third Proportional to 13,421.81 and 29,155.69

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Solution

The third proportional to 13,421.81 and 29,155.69 is: 63,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.81 : 29,155.69 = 29,155.69 : x
  2. Step 2: Convert to fraction form
    13,421.81/29,155.69 = 29,155.69/x
  3. Step 3: Cross multiply
    13,421.81x = 29,155.69 × 29,155.69
  4. Step 4: Simplify right side
    13,421.81x = 850,054,113.60
  5. Step 5: Solve for x
    x = 850,054,113.60/13,421.81
  6. Step 6: Final answer
    x = 63,333.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.