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Finding the Third Proportional to 44,633 and 65,460

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Solution

The third proportional to 44,633 and 65,460 is: 96,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,633 : 65,460 = 65,460 : x
  2. Step 2: Convert to fraction form
    44,633/65,460 = 65,460/x
  3. Step 3: Cross multiply
    44,633x = 65,460 × 65,460
  4. Step 4: Simplify right side
    44,633x = 4,285,011,600
  5. Step 5: Solve for x
    x = 4,285,011,600/44,633
  6. Step 6: Final answer
    x = 96,005.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.