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Finding the Third Proportional to 6,946 and 14,986

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Solution

The third proportional to 6,946 and 14,986 is: 32,332.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 14,986 = 14,986 : x
  2. Step 2: Convert to fraction form
    6,946/14,986 = 14,986/x
  3. Step 3: Cross multiply
    6,946x = 14,986 × 14,986
  4. Step 4: Simplify right side
    6,946x = 224,580,196
  5. Step 5: Solve for x
    x = 224,580,196/6,946
  6. Step 6: Final answer
    x = 32,332.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.