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Finding the Third Proportional to 44,049 and 64,221

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Solution

The third proportional to 44,049 and 64,221 is: 93,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,049 : 64,221 = 64,221 : x
  2. Step 2: Convert to fraction form
    44,049/64,221 = 64,221/x
  3. Step 3: Cross multiply
    44,049x = 64,221 × 64,221
  4. Step 4: Simplify right side
    44,049x = 4,124,336,841
  5. Step 5: Solve for x
    x = 4,124,336,841/44,049
  6. Step 6: Final answer
    x = 93,630.66

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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.