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Finding the Third Proportional to 44,582.50 and 65,233

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Solution

The third proportional to 44,582.50 and 65,233 is: 95,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,582.50 : 65,233 = 65,233 : x
  2. Step 2: Convert to fraction form
    44,582.50/65,233 = 65,233/x
  3. Step 3: Cross multiply
    44,582.50x = 65,233 × 65,233
  4. Step 4: Simplify right side
    44,582.50x = 4,255,344,289
  5. Step 5: Solve for x
    x = 4,255,344,289/44,582.50
  6. Step 6: Final answer
    x = 95,448.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.