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Finding the Third Proportional to 13,258.69 and 21,873.80

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Solution

The third proportional to 13,258.69 and 21,873.80 is: 36,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.69 : 21,873.80 = 21,873.80 : x
  2. Step 2: Convert to fraction form
    13,258.69/21,873.80 = 21,873.80/x
  3. Step 3: Cross multiply
    13,258.69x = 21,873.80 × 21,873.80
  4. Step 4: Simplify right side
    13,258.69x = 478,462,989.73
  5. Step 5: Solve for x
    x = 478,462,989.73/13,258.69
  6. Step 6: Final answer
    x = 36,086.75

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.