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Finding the Third Proportional to 5,999.06 and 14,420.53

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Solution

The third proportional to 5,999.06 and 14,420.53 is: 34,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.06 : 14,420.53 = 14,420.53 : x
  2. Step 2: Convert to fraction form
    5,999.06/14,420.53 = 14,420.53/x
  3. Step 3: Cross multiply
    5,999.06x = 14,420.53 × 14,420.53
  4. Step 4: Simplify right side
    5,999.06x = 207,951,721.53
  5. Step 5: Solve for x
    x = 207,951,721.53/5,999.06
  6. Step 6: Final answer
    x = 34,664.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.