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Finding the Third Proportional to 30,280 and 64,166

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Solution

The third proportional to 30,280 and 64,166 is: 135,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280 : 64,166 = 64,166 : x
  2. Step 2: Convert to fraction form
    30,280/64,166 = 64,166/x
  3. Step 3: Cross multiply
    30,280x = 64,166 × 64,166
  4. Step 4: Simplify right side
    30,280x = 4,117,275,556
  5. Step 5: Solve for x
    x = 4,117,275,556/30,280
  6. Step 6: Final answer
    x = 135,973.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.