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Finding the Third Proportional to 29,853.50 and 64,369

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Solution

The third proportional to 29,853.50 and 64,369 is: 138,790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.50 : 64,369 = 64,369 : x
  2. Step 2: Convert to fraction form
    29,853.50/64,369 = 64,369/x
  3. Step 3: Cross multiply
    29,853.50x = 64,369 × 64,369
  4. Step 4: Simplify right side
    29,853.50x = 4,143,368,161
  5. Step 5: Solve for x
    x = 4,143,368,161/29,853.50
  6. Step 6: Final answer
    x = 138,790.03

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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.