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Finding the Third Proportional to 29,232.75 and 64,423.50

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Solution

The third proportional to 29,232.75 and 64,423.50 is: 141,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232.75 : 64,423.50 = 64,423.50 : x
  2. Step 2: Convert to fraction form
    29,232.75/64,423.50 = 64,423.50/x
  3. Step 3: Cross multiply
    29,232.75x = 64,423.50 × 64,423.50
  4. Step 4: Simplify right side
    29,232.75x = 4,150,387,352.25
  5. Step 5: Solve for x
    x = 4,150,387,352.25/29,232.75
  6. Step 6: Final answer
    x = 141,977.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.