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Finding the Third Proportional to 7,818.56 and 15,955.50

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Solution

The third proportional to 7,818.56 and 15,955.50 is: 32,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.56 : 15,955.50 = 15,955.50 : x
  2. Step 2: Convert to fraction form
    7,818.56/15,955.50 = 15,955.50/x
  3. Step 3: Cross multiply
    7,818.56x = 15,955.50 × 15,955.50
  4. Step 4: Simplify right side
    7,818.56x = 254,577,980.25
  5. Step 5: Solve for x
    x = 254,577,980.25/7,818.56
  6. Step 6: Final answer
    x = 32,560.71

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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.