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Finding the Third Proportional to 30,539 and 64,786

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Solution

The third proportional to 30,539 and 64,786 is: 137,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539 : 64,786 = 64,786 : x
  2. Step 2: Convert to fraction form
    30,539/64,786 = 64,786/x
  3. Step 3: Cross multiply
    30,539x = 64,786 × 64,786
  4. Step 4: Simplify right side
    30,539x = 4,197,225,796
  5. Step 5: Solve for x
    x = 4,197,225,796/30,539
  6. Step 6: Final answer
    x = 137,438.22

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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.