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Finding the Third Proportional to 10,053.75 and 16,557.38

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Solution

The third proportional to 10,053.75 and 16,557.38 is: 27,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.75 : 16,557.38 = 16,557.38 : x
  2. Step 2: Convert to fraction form
    10,053.75/16,557.38 = 16,557.38/x
  3. Step 3: Cross multiply
    10,053.75x = 16,557.38 × 16,557.38
  4. Step 4: Simplify right side
    10,053.75x = 274,146,666.89
  5. Step 5: Solve for x
    x = 274,146,666.89/10,053.75
  6. Step 6: Final answer
    x = 27,268.10

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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.