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Finding the Third Proportional to 7,295.06 and 11,398.64

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Solution

The third proportional to 7,295.06 and 11,398.64 is: 17,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.06 : 11,398.64 = 11,398.64 : x
  2. Step 2: Convert to fraction form
    7,295.06/11,398.64 = 11,398.64/x
  3. Step 3: Cross multiply
    7,295.06x = 11,398.64 × 11,398.64
  4. Step 4: Simplify right side
    7,295.06x = 129,929,008.10
  5. Step 5: Solve for x
    x = 129,929,008.10/7,295.06
  6. Step 6: Final answer
    x = 17,810.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.