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Finding the Third Proportional to 44,397 and 64,944

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Solution

The third proportional to 44,397 and 64,944 is: 95,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,397 : 64,944 = 64,944 : x
  2. Step 2: Convert to fraction form
    44,397/64,944 = 64,944/x
  3. Step 3: Cross multiply
    44,397x = 64,944 × 64,944
  4. Step 4: Simplify right side
    44,397x = 4,217,723,136
  5. Step 5: Solve for x
    x = 4,217,723,136/44,397
  6. Step 6: Final answer
    x = 95,000.18

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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.