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Finding the Third Proportional to 14,151 and 29,010

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Solution

The third proportional to 14,151 and 29,010 is: 59,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151 : 29,010 = 29,010 : x
  2. Step 2: Convert to fraction form
    14,151/29,010 = 29,010/x
  3. Step 3: Cross multiply
    14,151x = 29,010 × 29,010
  4. Step 4: Simplify right side
    14,151x = 841,580,100
  5. Step 5: Solve for x
    x = 841,580,100/14,151
  6. Step 6: Final answer
    x = 59,471.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.