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Finding the Third Proportional to 10,585.69 and 14,534.44

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Solution

The third proportional to 10,585.69 and 14,534.44 is: 19,956.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.69 : 14,534.44 = 14,534.44 : x
  2. Step 2: Convert to fraction form
    10,585.69/14,534.44 = 14,534.44/x
  3. Step 3: Cross multiply
    10,585.69x = 14,534.44 × 14,534.44
  4. Step 4: Simplify right side
    10,585.69x = 211,249,873.44
  5. Step 5: Solve for x
    x = 211,249,873.44/10,585.69
  6. Step 6: Final answer
    x = 19,956.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.