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Finding the Third Proportional to 29,972.25 and 64,618.88

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Solution

The third proportional to 29,972.25 and 64,618.88 is: 139,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972.25 : 64,618.88 = 64,618.88 : x
  2. Step 2: Convert to fraction form
    29,972.25/64,618.88 = 64,618.88/x
  3. Step 3: Cross multiply
    29,972.25x = 64,618.88 × 64,618.88
  4. Step 4: Simplify right side
    29,972.25x = 4,175,599,006.27
  5. Step 5: Solve for x
    x = 4,175,599,006.27/29,972.25
  6. Step 6: Final answer
    x = 139,315.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.