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Finding the Third Proportional to 7,334 and 10,509.63

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Solution

The third proportional to 7,334 and 10,509.63 is: 15,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334 : 10,509.63 = 10,509.63 : x
  2. Step 2: Convert to fraction form
    7,334/10,509.63 = 10,509.63/x
  3. Step 3: Cross multiply
    7,334x = 10,509.63 × 10,509.63
  4. Step 4: Simplify right side
    7,334x = 110,452,217.64
  5. Step 5: Solve for x
    x = 110,452,217.64/7,334
  6. Step 6: Final answer
    x = 15,060.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.