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Finding the Third Proportional to 6,214 and 14,518

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Solution

The third proportional to 6,214 and 14,518 is: 33,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 14,518 = 14,518 : x
  2. Step 2: Convert to fraction form
    6,214/14,518 = 14,518/x
  3. Step 3: Cross multiply
    6,214x = 14,518 × 14,518
  4. Step 4: Simplify right side
    6,214x = 210,772,324
  5. Step 5: Solve for x
    x = 210,772,324/6,214
  6. Step 6: Final answer
    x = 33,918.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.