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Finding the Third Proportional to 14,709.09 and 23,400.14

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Solution

The third proportional to 14,709.09 and 23,400.14 is: 37,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.09 : 23,400.14 = 23,400.14 : x
  2. Step 2: Convert to fraction form
    14,709.09/23,400.14 = 23,400.14/x
  3. Step 3: Cross multiply
    14,709.09x = 23,400.14 × 23,400.14
  4. Step 4: Simplify right side
    14,709.09x = 547,566,581.27
  5. Step 5: Solve for x
    x = 547,566,581.27/14,709.09
  6. Step 6: Final answer
    x = 37,226.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.