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Finding the Third Proportional to 37,050 and 53,559

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Solution

The third proportional to 37,050 and 53,559 is: 77,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,050 : 53,559 = 53,559 : x
  2. Step 2: Convert to fraction form
    37,050/53,559 = 53,559/x
  3. Step 3: Cross multiply
    37,050x = 53,559 × 53,559
  4. Step 4: Simplify right side
    37,050x = 2,868,566,481
  5. Step 5: Solve for x
    x = 2,868,566,481/37,050
  6. Step 6: Final answer
    x = 77,424.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.