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Finding the Third Proportional to 30,077 and 64,324

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Solution

The third proportional to 30,077 and 64,324 is: 137,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077 : 64,324 = 64,324 : x
  2. Step 2: Convert to fraction form
    30,077/64,324 = 64,324/x
  3. Step 3: Cross multiply
    30,077x = 64,324 × 64,324
  4. Step 4: Simplify right side
    30,077x = 4,137,576,976
  5. Step 5: Solve for x
    x = 4,137,576,976/30,077
  6. Step 6: Final answer
    x = 137,566.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.