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Finding the Third Proportional to 14,460.47 and 21,872.81

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Solution

The third proportional to 14,460.47 and 21,872.81 is: 33,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.47 : 21,872.81 = 21,872.81 : x
  2. Step 2: Convert to fraction form
    14,460.47/21,872.81 = 21,872.81/x
  3. Step 3: Cross multiply
    14,460.47x = 21,872.81 × 21,872.81
  4. Step 4: Simplify right side
    14,460.47x = 478,419,926.66
  5. Step 5: Solve for x
    x = 478,419,926.66/14,460.47
  6. Step 6: Final answer
    x = 33,084.68

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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.