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Finding the Third Proportional to 42,053 and 49,733

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Solution

The third proportional to 42,053 and 49,733 is: 58,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,053 : 49,733 = 49,733 : x
  2. Step 2: Convert to fraction form
    42,053/49,733 = 49,733/x
  3. Step 3: Cross multiply
    42,053x = 49,733 × 49,733
  4. Step 4: Simplify right side
    42,053x = 2,473,371,289
  5. Step 5: Solve for x
    x = 2,473,371,289/42,053
  6. Step 6: Final answer
    x = 58,815.57

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.