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Finding the Third Proportional to 29,808 and 39,960

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Solution

The third proportional to 29,808 and 39,960 is: 53,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,808 : 39,960 = 39,960 : x
  2. Step 2: Convert to fraction form
    29,808/39,960 = 39,960/x
  3. Step 3: Cross multiply
    29,808x = 39,960 × 39,960
  4. Step 4: Simplify right side
    29,808x = 1,596,801,600
  5. Step 5: Solve for x
    x = 1,596,801,600/29,808
  6. Step 6: Final answer
    x = 53,569.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.