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Finding the Third Proportional to 7,233.89 and 14,669.02

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Solution

The third proportional to 7,233.89 and 14,669.02 is: 29,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.89 : 14,669.02 = 14,669.02 : x
  2. Step 2: Convert to fraction form
    7,233.89/14,669.02 = 14,669.02/x
  3. Step 3: Cross multiply
    7,233.89x = 14,669.02 × 14,669.02
  4. Step 4: Simplify right side
    7,233.89x = 215,180,019.41
  5. Step 5: Solve for x
    x = 215,180,019.41/7,233.89
  6. Step 6: Final answer
    x = 29,746.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.