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Finding the Third Proportional to 4,470 and 10,537

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Solution

The third proportional to 4,470 and 10,537 is: 24,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470 : 10,537 = 10,537 : x
  2. Step 2: Convert to fraction form
    4,470/10,537 = 10,537/x
  3. Step 3: Cross multiply
    4,470x = 10,537 × 10,537
  4. Step 4: Simplify right side
    4,470x = 111,028,369
  5. Step 5: Solve for x
    x = 111,028,369/4,470
  6. Step 6: Final answer
    x = 24,838.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.