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Finding the Third Proportional to 44,887 and 66,463

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Solution

The third proportional to 44,887 and 66,463 is: 98,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,887 : 66,463 = 66,463 : x
  2. Step 2: Convert to fraction form
    44,887/66,463 = 66,463/x
  3. Step 3: Cross multiply
    44,887x = 66,463 × 66,463
  4. Step 4: Simplify right side
    44,887x = 4,417,330,369
  5. Step 5: Solve for x
    x = 4,417,330,369/44,887
  6. Step 6: Final answer
    x = 98,410.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.