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Finding the Third Proportional to 43,386 and 58,935

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Solution

The third proportional to 43,386 and 58,935 is: 80,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,386 : 58,935 = 58,935 : x
  2. Step 2: Convert to fraction form
    43,386/58,935 = 58,935/x
  3. Step 3: Cross multiply
    43,386x = 58,935 × 58,935
  4. Step 4: Simplify right side
    43,386x = 3,473,334,225
  5. Step 5: Solve for x
    x = 3,473,334,225/43,386
  6. Step 6: Final answer
    x = 80,056.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.