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Finding the Third Proportional to 43,588 and 67,353

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Solution

The third proportional to 43,588 and 67,353 is: 104,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,588 : 67,353 = 67,353 : x
  2. Step 2: Convert to fraction form
    43,588/67,353 = 67,353/x
  3. Step 3: Cross multiply
    43,588x = 67,353 × 67,353
  4. Step 4: Simplify right side
    43,588x = 4,536,426,609
  5. Step 5: Solve for x
    x = 4,536,426,609/43,588
  6. Step 6: Final answer
    x = 104,075.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.