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Finding the Third Proportional to 30,757.50 and 65,341.13

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Solution

The third proportional to 30,757.50 and 65,341.13 is: 138,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757.50 : 65,341.13 = 65,341.13 : x
  2. Step 2: Convert to fraction form
    30,757.50/65,341.13 = 65,341.13/x
  3. Step 3: Cross multiply
    30,757.50x = 65,341.13 × 65,341.13
  4. Step 4: Simplify right side
    30,757.50x = 4,269,462,616.27
  5. Step 5: Solve for x
    x = 4,269,462,616.27/30,757.50
  6. Step 6: Final answer
    x = 138,810.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.