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Finding the Third Proportional to 37,183.50 and 53,001

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Solution

The third proportional to 37,183.50 and 53,001 is: 75,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183.50 : 53,001 = 53,001 : x
  2. Step 2: Convert to fraction form
    37,183.50/53,001 = 53,001/x
  3. Step 3: Cross multiply
    37,183.50x = 53,001 × 53,001
  4. Step 4: Simplify right side
    37,183.50x = 2,809,106,001
  5. Step 5: Solve for x
    x = 2,809,106,001/37,183.50
  6. Step 6: Final answer
    x = 75,547.11

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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.