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Finding the Third Proportional to 37,049 and 53,557

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Solution

The third proportional to 37,049 and 53,557 is: 77,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,049 : 53,557 = 53,557 : x
  2. Step 2: Convert to fraction form
    37,049/53,557 = 53,557/x
  3. Step 3: Cross multiply
    37,049x = 53,557 × 53,557
  4. Step 4: Simplify right side
    37,049x = 2,868,352,249
  5. Step 5: Solve for x
    x = 2,868,352,249/37,049
  6. Step 6: Final answer
    x = 77,420.50

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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.