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Finding the Third Proportional to 30,185.16 and 39,703.92

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Solution

The third proportional to 30,185.16 and 39,703.92 is: 52,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185.16 : 39,703.92 = 39,703.92 : x
  2. Step 2: Convert to fraction form
    30,185.16/39,703.92 = 39,703.92/x
  3. Step 3: Cross multiply
    30,185.16x = 39,703.92 × 39,703.92
  4. Step 4: Simplify right side
    30,185.16x = 1,576,401,412.26
  5. Step 5: Solve for x
    x = 1,576,401,412.26/30,185.16
  6. Step 6: Final answer
    x = 52,224.39

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.