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Finding the Third Proportional to 7,256.50 and 14,820.47

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Solution

The third proportional to 7,256.50 and 14,820.47 is: 30,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.50 : 14,820.47 = 14,820.47 : x
  2. Step 2: Convert to fraction form
    7,256.50/14,820.47 = 14,820.47/x
  3. Step 3: Cross multiply
    7,256.50x = 14,820.47 × 14,820.47
  4. Step 4: Simplify right side
    7,256.50x = 219,646,293.97
  5. Step 5: Solve for x
    x = 219,646,293.97/7,256.50
  6. Step 6: Final answer
    x = 30,268.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.