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Finding the Third Proportional to 30,041 and 64,495

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Solution

The third proportional to 30,041 and 64,495 is: 138,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041 : 64,495 = 64,495 : x
  2. Step 2: Convert to fraction form
    30,041/64,495 = 64,495/x
  3. Step 3: Cross multiply
    30,041x = 64,495 × 64,495
  4. Step 4: Simplify right side
    30,041x = 4,159,605,025
  5. Step 5: Solve for x
    x = 4,159,605,025/30,041
  6. Step 6: Final answer
    x = 138,464.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.