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Finding the Third Proportional to 29,400.19 and 64,429.31

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Solution

The third proportional to 29,400.19 and 64,429.31 is: 141,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400.19 : 64,429.31 = 64,429.31 : x
  2. Step 2: Convert to fraction form
    29,400.19/64,429.31 = 64,429.31/x
  3. Step 3: Cross multiply
    29,400.19x = 64,429.31 × 64,429.31
  4. Step 4: Simplify right side
    29,400.19x = 4,151,136,309.22
  5. Step 5: Solve for x
    x = 4,151,136,309.22/29,400.19
  6. Step 6: Final answer
    x = 141,194.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.