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Finding the Third Proportional to 3,117.50 and 6,788

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Solution

The third proportional to 3,117.50 and 6,788 is: 14,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.50 : 6,788 = 6,788 : x
  2. Step 2: Convert to fraction form
    3,117.50/6,788 = 6,788/x
  3. Step 3: Cross multiply
    3,117.50x = 6,788 × 6,788
  4. Step 4: Simplify right side
    3,117.50x = 46,076,944
  5. Step 5: Solve for x
    x = 46,076,944/3,117.50
  6. Step 6: Final answer
    x = 14,780.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.