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Finding the Third Proportional to 30,999 and 67,527

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Solution

The third proportional to 30,999 and 67,527 is: 147,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999 : 67,527 = 67,527 : x
  2. Step 2: Convert to fraction form
    30,999/67,527 = 67,527/x
  3. Step 3: Cross multiply
    30,999x = 67,527 × 67,527
  4. Step 4: Simplify right side
    30,999x = 4,559,895,729
  5. Step 5: Solve for x
    x = 4,559,895,729/30,999
  6. Step 6: Final answer
    x = 147,098.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.