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Finding the Third Proportional to 16,785 and 25,818.75

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Solution

The third proportional to 16,785 and 25,818.75 is: 39,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785 : 25,818.75 = 25,818.75 : x
  2. Step 2: Convert to fraction form
    16,785/25,818.75 = 25,818.75/x
  3. Step 3: Cross multiply
    16,785x = 25,818.75 × 25,818.75
  4. Step 4: Simplify right side
    16,785x = 666,607,851.56
  5. Step 5: Solve for x
    x = 666,607,851.56/16,785
  6. Step 6: Final answer
    x = 39,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.