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Finding the Third Proportional to 27,593.16 and 42,466.15

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Solution

The third proportional to 27,593.16 and 42,466.15 is: 65,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593.16 : 42,466.15 = 42,466.15 : x
  2. Step 2: Convert to fraction form
    27,593.16/42,466.15 = 42,466.15/x
  3. Step 3: Cross multiply
    27,593.16x = 42,466.15 × 42,466.15
  4. Step 4: Simplify right side
    27,593.16x = 1,803,373,763.12
  5. Step 5: Solve for x
    x = 1,803,373,763.12/27,593.16
  6. Step 6: Final answer
    x = 65,355.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.