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Finding the Third Proportional to 13,253 and 29,421

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Solution

The third proportional to 13,253 and 29,421 is: 65,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253 : 29,421 = 29,421 : x
  2. Step 2: Convert to fraction form
    13,253/29,421 = 29,421/x
  3. Step 3: Cross multiply
    13,253x = 29,421 × 29,421
  4. Step 4: Simplify right side
    13,253x = 865,595,241
  5. Step 5: Solve for x
    x = 865,595,241/13,253
  6. Step 6: Final answer
    x = 65,313.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.