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Finding the Third Proportional to 10,800.56 and 14,514.75

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Solution

The third proportional to 10,800.56 and 14,514.75 is: 19,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.56 : 14,514.75 = 14,514.75 : x
  2. Step 2: Convert to fraction form
    10,800.56/14,514.75 = 14,514.75/x
  3. Step 3: Cross multiply
    10,800.56x = 14,514.75 × 14,514.75
  4. Step 4: Simplify right side
    10,800.56x = 210,677,967.56
  5. Step 5: Solve for x
    x = 210,677,967.56/10,800.56
  6. Step 6: Final answer
    x = 19,506.20

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.