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Finding the Third Proportional to 16,746.75 and 29,743.88

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Solution

The third proportional to 16,746.75 and 29,743.88 is: 52,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746.75 : 29,743.88 = 29,743.88 : x
  2. Step 2: Convert to fraction form
    16,746.75/29,743.88 = 29,743.88/x
  3. Step 3: Cross multiply
    16,746.75x = 29,743.88 × 29,743.88
  4. Step 4: Simplify right side
    16,746.75x = 884,698,100.02
  5. Step 5: Solve for x
    x = 884,698,100.02/16,746.75
  6. Step 6: Final answer
    x = 52,828.05

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.