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Finding the Third Proportional to 7,047 and 10,553.63

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Solution

The third proportional to 7,047 and 10,553.63 is: 15,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 10,553.63 = 10,553.63 : x
  2. Step 2: Convert to fraction form
    7,047/10,553.63 = 10,553.63/x
  3. Step 3: Cross multiply
    7,047x = 10,553.63 × 10,553.63
  4. Step 4: Simplify right side
    7,047x = 111,379,000.64
  5. Step 5: Solve for x
    x = 111,379,000.64/7,047
  6. Step 6: Final answer
    x = 15,805.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.