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Finding the Third Proportional to 19,071 and 29,009

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Solution

The third proportional to 19,071 and 29,009 is: 44,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071 : 29,009 = 29,009 : x
  2. Step 2: Convert to fraction form
    19,071/29,009 = 29,009/x
  3. Step 3: Cross multiply
    19,071x = 29,009 × 29,009
  4. Step 4: Simplify right side
    19,071x = 841,522,081
  5. Step 5: Solve for x
    x = 841,522,081/19,071
  6. Step 6: Final answer
    x = 44,125.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.