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Finding the Third Proportional to 31,564.85 and 70,136.35

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Solution

The third proportional to 31,564.85 and 70,136.35 is: 155,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.85 : 70,136.35 = 70,136.35 : x
  2. Step 2: Convert to fraction form
    31,564.85/70,136.35 = 70,136.35/x
  3. Step 3: Cross multiply
    31,564.85x = 70,136.35 × 70,136.35
  4. Step 4: Simplify right side
    31,564.85x = 4,919,107,536.53
  5. Step 5: Solve for x
    x = 4,919,107,536.53/31,564.85
  6. Step 6: Final answer
    x = 155,841.33

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.