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Finding the Third Proportional to 14,749.28 and 23,366.44

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Solution

The third proportional to 14,749.28 and 23,366.44 is: 37,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749.28 : 23,366.44 = 23,366.44 : x
  2. Step 2: Convert to fraction form
    14,749.28/23,366.44 = 23,366.44/x
  3. Step 3: Cross multiply
    14,749.28x = 23,366.44 × 23,366.44
  4. Step 4: Simplify right side
    14,749.28x = 545,990,675.27
  5. Step 5: Solve for x
    x = 545,990,675.27/14,749.28
  6. Step 6: Final answer
    x = 37,018.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.