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Finding the Third Proportional to 7,206.47 and 15,597.56

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Solution

The third proportional to 7,206.47 and 15,597.56 is: 33,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.47 : 15,597.56 = 15,597.56 : x
  2. Step 2: Convert to fraction form
    7,206.47/15,597.56 = 15,597.56/x
  3. Step 3: Cross multiply
    7,206.47x = 15,597.56 × 15,597.56
  4. Step 4: Simplify right side
    7,206.47x = 243,283,955.94
  5. Step 5: Solve for x
    x = 243,283,955.94/7,206.47
  6. Step 6: Final answer
    x = 33,759.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.