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Finding the Third Proportional to 16,312 and 29,006

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Solution

The third proportional to 16,312 and 29,006 is: 51,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312 : 29,006 = 29,006 : x
  2. Step 2: Convert to fraction form
    16,312/29,006 = 29,006/x
  3. Step 3: Cross multiply
    16,312x = 29,006 × 29,006
  4. Step 4: Simplify right side
    16,312x = 841,348,036
  5. Step 5: Solve for x
    x = 841,348,036/16,312
  6. Step 6: Final answer
    x = 51,578.47

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.