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Finding the Third Proportional to 44,345 and 65,220.50

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Solution

The third proportional to 44,345 and 65,220.50 is: 95,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,345 : 65,220.50 = 65,220.50 : x
  2. Step 2: Convert to fraction form
    44,345/65,220.50 = 65,220.50/x
  3. Step 3: Cross multiply
    44,345x = 65,220.50 × 65,220.50
  4. Step 4: Simplify right side
    44,345x = 4,253,713,620.25
  5. Step 5: Solve for x
    x = 4,253,713,620.25/44,345
  6. Step 6: Final answer
    x = 95,923.18

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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.