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Finding the Third Proportional to 44,901 and 65,376

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Solution

The third proportional to 44,901 and 65,376 is: 95,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,901 : 65,376 = 65,376 : x
  2. Step 2: Convert to fraction form
    44,901/65,376 = 65,376/x
  3. Step 3: Cross multiply
    44,901x = 65,376 × 65,376
  4. Step 4: Simplify right side
    44,901x = 4,274,021,376
  5. Step 5: Solve for x
    x = 4,274,021,376/44,901
  6. Step 6: Final answer
    x = 95,187.67

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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.