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Finding the Third Proportional to 43,578 and 65,205

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Solution

The third proportional to 43,578 and 65,205 is: 97,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,578 : 65,205 = 65,205 : x
  2. Step 2: Convert to fraction form
    43,578/65,205 = 65,205/x
  3. Step 3: Cross multiply
    43,578x = 65,205 × 65,205
  4. Step 4: Simplify right side
    43,578x = 4,251,692,025
  5. Step 5: Solve for x
    x = 4,251,692,025/43,578
  6. Step 6: Final answer
    x = 97,565.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.