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Finding the Third Proportional to 45,444 and 65,050.50

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Solution

The third proportional to 45,444 and 65,050.50 is: 93,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,444 : 65,050.50 = 65,050.50 : x
  2. Step 2: Convert to fraction form
    45,444/65,050.50 = 65,050.50/x
  3. Step 3: Cross multiply
    45,444x = 65,050.50 × 65,050.50
  4. Step 4: Simplify right side
    45,444x = 4,231,567,550.25
  5. Step 5: Solve for x
    x = 4,231,567,550.25/45,444
  6. Step 6: Final answer
    x = 93,116.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.