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Finding the Third Proportional to 58,451 and 83,579

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Solution

The third proportional to 58,451 and 83,579 is: 119,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,451 : 83,579 = 83,579 : x
  2. Step 2: Convert to fraction form
    58,451/83,579 = 83,579/x
  3. Step 3: Cross multiply
    58,451x = 83,579 × 83,579
  4. Step 4: Simplify right side
    58,451x = 6,985,449,241
  5. Step 5: Solve for x
    x = 6,985,449,241/58,451
  6. Step 6: Final answer
    x = 119,509.49

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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.