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Finding the Third Proportional to 7,578 and 15,465

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Solution

The third proportional to 7,578 and 15,465 is: 31,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 15,465 = 15,465 : x
  2. Step 2: Convert to fraction form
    7,578/15,465 = 15,465/x
  3. Step 3: Cross multiply
    7,578x = 15,465 × 15,465
  4. Step 4: Simplify right side
    7,578x = 239,166,225
  5. Step 5: Solve for x
    x = 239,166,225/7,578
  6. Step 6: Final answer
    x = 31,560.60

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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.