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Finding the Third Proportional to 7,386 and 11,053

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Solution

The third proportional to 7,386 and 11,053 is: 16,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386 : 11,053 = 11,053 : x
  2. Step 2: Convert to fraction form
    7,386/11,053 = 11,053/x
  3. Step 3: Cross multiply
    7,386x = 11,053 × 11,053
  4. Step 4: Simplify right side
    7,386x = 122,168,809
  5. Step 5: Solve for x
    x = 122,168,809/7,386
  6. Step 6: Final answer
    x = 16,540.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.