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Finding the Third Proportional to 37,046 and 55,573

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Solution

The third proportional to 37,046 and 55,573 is: 83,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046 : 55,573 = 55,573 : x
  2. Step 2: Convert to fraction form
    37,046/55,573 = 55,573/x
  3. Step 3: Cross multiply
    37,046x = 55,573 × 55,573
  4. Step 4: Simplify right side
    37,046x = 3,088,358,329
  5. Step 5: Solve for x
    x = 3,088,358,329/37,046
  6. Step 6: Final answer
    x = 83,365.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.