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Finding the Third Proportional to 29,644.88 and 64,210.50

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Solution

The third proportional to 29,644.88 and 64,210.50 is: 139,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,644.88 : 64,210.50 = 64,210.50 : x
  2. Step 2: Convert to fraction form
    29,644.88/64,210.50 = 64,210.50/x
  3. Step 3: Cross multiply
    29,644.88x = 64,210.50 × 64,210.50
  4. Step 4: Simplify right side
    29,644.88x = 4,122,988,310.25
  5. Step 5: Solve for x
    x = 4,122,988,310.25/29,644.88
  6. Step 6: Final answer
    x = 139,079.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.