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Finding the Third Proportional to 7,335 and 15,708.75

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Solution

The third proportional to 7,335 and 15,708.75 is: 33,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,335 : 15,708.75 = 15,708.75 : x
  2. Step 2: Convert to fraction form
    7,335/15,708.75 = 15,708.75/x
  3. Step 3: Cross multiply
    7,335x = 15,708.75 × 15,708.75
  4. Step 4: Simplify right side
    7,335x = 246,764,826.56
  5. Step 5: Solve for x
    x = 246,764,826.56/7,335
  6. Step 6: Final answer
    x = 33,642.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.