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Finding the Third Proportional to 37,587 and 58,533

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Solution

The third proportional to 37,587 and 58,533 is: 91,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,587 : 58,533 = 58,533 : x
  2. Step 2: Convert to fraction form
    37,587/58,533 = 58,533/x
  3. Step 3: Cross multiply
    37,587x = 58,533 × 58,533
  4. Step 4: Simplify right side
    37,587x = 3,426,112,089
  5. Step 5: Solve for x
    x = 3,426,112,089/37,587
  6. Step 6: Final answer
    x = 91,151.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.