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Finding the Third Proportional to 43,588 and 57,558

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Solution

The third proportional to 43,588 and 57,558 is: 76,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,588 : 57,558 = 57,558 : x
  2. Step 2: Convert to fraction form
    43,588/57,558 = 57,558/x
  3. Step 3: Cross multiply
    43,588x = 57,558 × 57,558
  4. Step 4: Simplify right side
    43,588x = 3,312,923,364
  5. Step 5: Solve for x
    x = 3,312,923,364/43,588
  6. Step 6: Final answer
    x = 76,005.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.