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Finding the Third Proportional to 8,537 and 13,363

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Solution

The third proportional to 8,537 and 13,363 is: 20,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537 : 13,363 = 13,363 : x
  2. Step 2: Convert to fraction form
    8,537/13,363 = 13,363/x
  3. Step 3: Cross multiply
    8,537x = 13,363 × 13,363
  4. Step 4: Simplify right side
    8,537x = 178,569,769
  5. Step 5: Solve for x
    x = 178,569,769/8,537
  6. Step 6: Final answer
    x = 20,917.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.