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Finding the Third Proportional to 31,483.50 and 69,960

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Solution

The third proportional to 31,483.50 and 69,960 is: 155,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.50 : 69,960 = 69,960 : x
  2. Step 2: Convert to fraction form
    31,483.50/69,960 = 69,960/x
  3. Step 3: Cross multiply
    31,483.50x = 69,960 × 69,960
  4. Step 4: Simplify right side
    31,483.50x = 4,894,401,600
  5. Step 5: Solve for x
    x = 4,894,401,600/31,483.50
  6. Step 6: Final answer
    x = 155,459.26

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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.