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Finding the Third Proportional to 19,008 and 29,858

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Solution

The third proportional to 19,008 and 29,858 is: 46,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,008 : 29,858 = 29,858 : x
  2. Step 2: Convert to fraction form
    19,008/29,858 = 29,858/x
  3. Step 3: Cross multiply
    19,008x = 29,858 × 29,858
  4. Step 4: Simplify right side
    19,008x = 891,500,164
  5. Step 5: Solve for x
    x = 891,500,164/19,008
  6. Step 6: Final answer
    x = 46,901.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.