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Finding the Third Proportional to 30,592 and 66,080

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Solution

The third proportional to 30,592 and 66,080 is: 142,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592 : 66,080 = 66,080 : x
  2. Step 2: Convert to fraction form
    30,592/66,080 = 66,080/x
  3. Step 3: Cross multiply
    30,592x = 66,080 × 66,080
  4. Step 4: Simplify right side
    30,592x = 4,366,566,400
  5. Step 5: Solve for x
    x = 4,366,566,400/30,592
  6. Step 6: Final answer
    x = 142,735.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.