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Finding the Third Proportional to 19,850 and 29,011

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Solution

The third proportional to 19,850 and 29,011 is: 42,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850 : 29,011 = 29,011 : x
  2. Step 2: Convert to fraction form
    19,850/29,011 = 29,011/x
  3. Step 3: Cross multiply
    19,850x = 29,011 × 29,011
  4. Step 4: Simplify right side
    19,850x = 841,638,121
  5. Step 5: Solve for x
    x = 841,638,121/19,850
  6. Step 6: Final answer
    x = 42,399.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.