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Finding the Third Proportional to 19,127.25 and 31,609.13

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Solution

The third proportional to 19,127.25 and 31,609.13 is: 52,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,127.25 : 31,609.13 = 31,609.13 : x
  2. Step 2: Convert to fraction form
    19,127.25/31,609.13 = 31,609.13/x
  3. Step 3: Cross multiply
    19,127.25x = 31,609.13 × 31,609.13
  4. Step 4: Simplify right side
    19,127.25x = 999,136,783.27
  5. Step 5: Solve for x
    x = 999,136,783.27/19,127.25
  6. Step 6: Final answer
    x = 52,236.30

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.