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Finding the Third Proportional to 7,055.86 and 15,423.54

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Solution

The third proportional to 7,055.86 and 15,423.54 is: 33,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.86 : 15,423.54 = 15,423.54 : x
  2. Step 2: Convert to fraction form
    7,055.86/15,423.54 = 15,423.54/x
  3. Step 3: Cross multiply
    7,055.86x = 15,423.54 × 15,423.54
  4. Step 4: Simplify right side
    7,055.86x = 237,885,557.21
  5. Step 5: Solve for x
    x = 237,885,557.21/7,055.86
  6. Step 6: Final answer
    x = 33,714.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.