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Finding the Third Proportional to 7,033 and 10,537

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Solution

The third proportional to 7,033 and 10,537 is: 15,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033 : 10,537 = 10,537 : x
  2. Step 2: Convert to fraction form
    7,033/10,537 = 10,537/x
  3. Step 3: Cross multiply
    7,033x = 10,537 × 10,537
  4. Step 4: Simplify right side
    7,033x = 111,028,369
  5. Step 5: Solve for x
    x = 111,028,369/7,033
  6. Step 6: Final answer
    x = 15,786.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.