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Finding the Third Proportional to 16,564.50 and 21,495.38

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Solution

The third proportional to 16,564.50 and 21,495.38 is: 27,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.50 : 21,495.38 = 21,495.38 : x
  2. Step 2: Convert to fraction form
    16,564.50/21,495.38 = 21,495.38/x
  3. Step 3: Cross multiply
    16,564.50x = 21,495.38 × 21,495.38
  4. Step 4: Simplify right side
    16,564.50x = 462,051,146.39
  5. Step 5: Solve for x
    x = 462,051,146.39/16,564.50
  6. Step 6: Final answer
    x = 27,894.06

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.