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Finding the Third Proportional to 30,061 and 64,291

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Solution

The third proportional to 30,061 and 64,291 is: 137,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,061 : 64,291 = 64,291 : x
  2. Step 2: Convert to fraction form
    30,061/64,291 = 64,291/x
  3. Step 3: Cross multiply
    30,061x = 64,291 × 64,291
  4. Step 4: Simplify right side
    30,061x = 4,133,332,681
  5. Step 5: Solve for x
    x = 4,133,332,681/30,061
  6. Step 6: Final answer
    x = 137,498.18

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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.