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Finding the Third Proportional to 10,554.75 and 16,712.75

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Solution

The third proportional to 10,554.75 and 16,712.75 is: 26,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.75 : 16,712.75 = 16,712.75 : x
  2. Step 2: Convert to fraction form
    10,554.75/16,712.75 = 16,712.75/x
  3. Step 3: Cross multiply
    10,554.75x = 16,712.75 × 16,712.75
  4. Step 4: Simplify right side
    10,554.75x = 279,316,012.56
  5. Step 5: Solve for x
    x = 279,316,012.56/10,554.75
  6. Step 6: Final answer
    x = 26,463.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.