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Finding the Third Proportional to 13,837.50 and 29,835

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Solution

The third proportional to 13,837.50 and 29,835 is: 64,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.50 : 29,835 = 29,835 : x
  2. Step 2: Convert to fraction form
    13,837.50/29,835 = 29,835/x
  3. Step 3: Cross multiply
    13,837.50x = 29,835 × 29,835
  4. Step 4: Simplify right side
    13,837.50x = 890,127,225
  5. Step 5: Solve for x
    x = 890,127,225/13,837.50
  6. Step 6: Final answer
    x = 64,327.17

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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.