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Finding the Third Proportional to 7,302.23 and 13,505.91

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Solution

The third proportional to 7,302.23 and 13,505.91 is: 24,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.23 : 13,505.91 = 13,505.91 : x
  2. Step 2: Convert to fraction form
    7,302.23/13,505.91 = 13,505.91/x
  3. Step 3: Cross multiply
    7,302.23x = 13,505.91 × 13,505.91
  4. Step 4: Simplify right side
    7,302.23x = 182,409,503.63
  5. Step 5: Solve for x
    x = 182,409,503.63/7,302.23
  6. Step 6: Final answer
    x = 24,979.96

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.