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Finding the Third Proportional to 43,590 and 58,473

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Solution

The third proportional to 43,590 and 58,473 is: 78,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,590 : 58,473 = 58,473 : x
  2. Step 2: Convert to fraction form
    43,590/58,473 = 58,473/x
  3. Step 3: Cross multiply
    43,590x = 58,473 × 58,473
  4. Step 4: Simplify right side
    43,590x = 3,419,091,729
  5. Step 5: Solve for x
    x = 3,419,091,729/43,590
  6. Step 6: Final answer
    x = 78,437.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.