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Finding the Third Proportional to 19,136.25 and 29,365.03

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Solution

The third proportional to 19,136.25 and 29,365.03 is: 45,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.25 : 29,365.03 = 29,365.03 : x
  2. Step 2: Convert to fraction form
    19,136.25/29,365.03 = 29,365.03/x
  3. Step 3: Cross multiply
    19,136.25x = 29,365.03 × 29,365.03
  4. Step 4: Simplify right side
    19,136.25x = 862,305,060.31
  5. Step 5: Solve for x
    x = 862,305,060.31/19,136.25
  6. Step 6: Final answer
    x = 45,061.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.