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Finding the Third Proportional to 6,946 and 15,076

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Solution

The third proportional to 6,946 and 15,076 is: 32,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 15,076 = 15,076 : x
  2. Step 2: Convert to fraction form
    6,946/15,076 = 15,076/x
  3. Step 3: Cross multiply
    6,946x = 15,076 × 15,076
  4. Step 4: Simplify right side
    6,946x = 227,285,776
  5. Step 5: Solve for x
    x = 227,285,776/6,946
  6. Step 6: Final answer
    x = 32,721.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.