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Finding the Third Proportional to 6,537 and 15,246

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Solution

The third proportional to 6,537 and 15,246 is: 35,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 15,246 = 15,246 : x
  2. Step 2: Convert to fraction form
    6,537/15,246 = 15,246/x
  3. Step 3: Cross multiply
    6,537x = 15,246 × 15,246
  4. Step 4: Simplify right side
    6,537x = 232,440,516
  5. Step 5: Solve for x
    x = 232,440,516/6,537
  6. Step 6: Final answer
    x = 35,557.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.