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Finding the Third Proportional to 34,026 and 49,852

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Solution

The third proportional to 34,026 and 49,852 is: 73,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026 : 49,852 = 49,852 : x
  2. Step 2: Convert to fraction form
    34,026/49,852 = 49,852/x
  3. Step 3: Cross multiply
    34,026x = 49,852 × 49,852
  4. Step 4: Simplify right side
    34,026x = 2,485,221,904
  5. Step 5: Solve for x
    x = 2,485,221,904/34,026
  6. Step 6: Final answer
    x = 73,038.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.