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Finding the Third Proportional to 31,572 and 49,018

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Solution

The third proportional to 31,572 and 49,018 is: 76,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 49,018 = 49,018 : x
  2. Step 2: Convert to fraction form
    31,572/49,018 = 49,018/x
  3. Step 3: Cross multiply
    31,572x = 49,018 × 49,018
  4. Step 4: Simplify right side
    31,572x = 2,402,764,324
  5. Step 5: Solve for x
    x = 2,402,764,324/31,572
  6. Step 6: Final answer
    x = 76,104.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.