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Finding the Third Proportional to 30,294 and 66,096

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Solution

The third proportional to 30,294 and 66,096 is: 144,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 66,096 = 66,096 : x
  2. Step 2: Convert to fraction form
    30,294/66,096 = 66,096/x
  3. Step 3: Cross multiply
    30,294x = 66,096 × 66,096
  4. Step 4: Simplify right side
    30,294x = 4,368,681,216
  5. Step 5: Solve for x
    x = 4,368,681,216/30,294
  6. Step 6: Final answer
    x = 144,209.45

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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.