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Finding the Third Proportional to 30,989.50 and 67,130

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Solution

The third proportional to 30,989.50 and 67,130 is: 145,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.50 : 67,130 = 67,130 : x
  2. Step 2: Convert to fraction form
    30,989.50/67,130 = 67,130/x
  3. Step 3: Cross multiply
    30,989.50x = 67,130 × 67,130
  4. Step 4: Simplify right side
    30,989.50x = 4,506,436,900
  5. Step 5: Solve for x
    x = 4,506,436,900/30,989.50
  6. Step 6: Final answer
    x = 145,418.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.