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Finding the Third Proportional to 7,113.45 and 15,548.20

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Solution

The third proportional to 7,113.45 and 15,548.20 is: 33,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.45 : 15,548.20 = 15,548.20 : x
  2. Step 2: Convert to fraction form
    7,113.45/15,548.20 = 15,548.20/x
  3. Step 3: Cross multiply
    7,113.45x = 15,548.20 × 15,548.20
  4. Step 4: Simplify right side
    7,113.45x = 241,746,620.42
  5. Step 5: Solve for x
    x = 241,746,620.42/7,113.45
  6. Step 6: Final answer
    x = 33,984.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.