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Finding the Third Proportional to 4,972 and 12,046

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Solution

The third proportional to 4,972 and 12,046 is: 29,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972 : 12,046 = 12,046 : x
  2. Step 2: Convert to fraction form
    4,972/12,046 = 12,046/x
  3. Step 3: Cross multiply
    4,972x = 12,046 × 12,046
  4. Step 4: Simplify right side
    4,972x = 145,106,116
  5. Step 5: Solve for x
    x = 145,106,116/4,972
  6. Step 6: Final answer
    x = 29,184.66

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.