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Finding the Third Proportional to 16,659 and 26,506.50

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Solution

The third proportional to 16,659 and 26,506.50 is: 42,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,659 : 26,506.50 = 26,506.50 : x
  2. Step 2: Convert to fraction form
    16,659/26,506.50 = 26,506.50/x
  3. Step 3: Cross multiply
    16,659x = 26,506.50 × 26,506.50
  4. Step 4: Simplify right side
    16,659x = 702,594,542.25
  5. Step 5: Solve for x
    x = 702,594,542.25/16,659
  6. Step 6: Final answer
    x = 42,175.07

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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.