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Finding the Third Proportional to 4,666.36 and 7,225.45

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Solution

The third proportional to 4,666.36 and 7,225.45 is: 11,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.36 : 7,225.45 = 7,225.45 : x
  2. Step 2: Convert to fraction form
    4,666.36/7,225.45 = 7,225.45/x
  3. Step 3: Cross multiply
    4,666.36x = 7,225.45 × 7,225.45
  4. Step 4: Simplify right side
    4,666.36x = 52,207,172.86
  5. Step 5: Solve for x
    x = 52,207,172.86/4,666.36
  6. Step 6: Final answer
    x = 11,187.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.