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Finding the Third Proportional to 58,533 and 83,647

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Solution

The third proportional to 58,533 and 83,647 is: 119,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,533 : 83,647 = 83,647 : x
  2. Step 2: Convert to fraction form
    58,533/83,647 = 83,647/x
  3. Step 3: Cross multiply
    58,533x = 83,647 × 83,647
  4. Step 4: Simplify right side
    58,533x = 6,996,820,609
  5. Step 5: Solve for x
    x = 6,996,820,609/58,533
  6. Step 6: Final answer
    x = 119,536.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.