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Finding the Third Proportional to 8,420 and 13,316

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Solution

The third proportional to 8,420 and 13,316 is: 21,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 13,316 = 13,316 : x
  2. Step 2: Convert to fraction form
    8,420/13,316 = 13,316/x
  3. Step 3: Cross multiply
    8,420x = 13,316 × 13,316
  4. Step 4: Simplify right side
    8,420x = 177,315,856
  5. Step 5: Solve for x
    x = 177,315,856/8,420
  6. Step 6: Final answer
    x = 21,058.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.