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Finding the Third Proportional to 37,042 and 58,844

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Solution

The third proportional to 37,042 and 58,844 is: 93,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042 : 58,844 = 58,844 : x
  2. Step 2: Convert to fraction form
    37,042/58,844 = 58,844/x
  3. Step 3: Cross multiply
    37,042x = 58,844 × 58,844
  4. Step 4: Simplify right side
    37,042x = 3,462,616,336
  5. Step 5: Solve for x
    x = 3,462,616,336/37,042
  6. Step 6: Final answer
    x = 93,478.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.