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Finding the Third Proportional to 44,661 and 65,398.50

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Solution

The third proportional to 44,661 and 65,398.50 is: 95,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,661 : 65,398.50 = 65,398.50 : x
  2. Step 2: Convert to fraction form
    44,661/65,398.50 = 65,398.50/x
  3. Step 3: Cross multiply
    44,661x = 65,398.50 × 65,398.50
  4. Step 4: Simplify right side
    44,661x = 4,276,963,802.25
  5. Step 5: Solve for x
    x = 4,276,963,802.25/44,661
  6. Step 6: Final answer
    x = 95,765.07

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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.