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Finding the Third Proportional to 14,563.13 and 28,738.13

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Solution

The third proportional to 14,563.13 and 28,738.13 is: 56,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.13 : 28,738.13 = 28,738.13 : x
  2. Step 2: Convert to fraction form
    14,563.13/28,738.13 = 28,738.13/x
  3. Step 3: Cross multiply
    14,563.13x = 28,738.13 × 28,738.13
  4. Step 4: Simplify right side
    14,563.13x = 825,879,828.52
  5. Step 5: Solve for x
    x = 825,879,828.52/14,563.13
  6. Step 6: Final answer
    x = 56,710.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.