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Finding the Third Proportional to 19,407 and 29,080

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Solution

The third proportional to 19,407 and 29,080 is: 43,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407 : 29,080 = 29,080 : x
  2. Step 2: Convert to fraction form
    19,407/29,080 = 29,080/x
  3. Step 3: Cross multiply
    19,407x = 29,080 × 29,080
  4. Step 4: Simplify right side
    19,407x = 845,646,400
  5. Step 5: Solve for x
    x = 845,646,400/19,407
  6. Step 6: Final answer
    x = 43,574.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.