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Finding the Third Proportional to 5,644.69 and 10,492.03

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Solution

The third proportional to 5,644.69 and 10,492.03 is: 19,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.69 : 10,492.03 = 10,492.03 : x
  2. Step 2: Convert to fraction form
    5,644.69/10,492.03 = 10,492.03/x
  3. Step 3: Cross multiply
    5,644.69x = 10,492.03 × 10,492.03
  4. Step 4: Simplify right side
    5,644.69x = 110,082,719.75
  5. Step 5: Solve for x
    x = 110,082,719.75/5,644.69
  6. Step 6: Final answer
    x = 19,502.00

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.