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Finding the Third Proportional to 13,008 and 27,565

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Solution

The third proportional to 13,008 and 27,565 is: 58,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008 : 27,565 = 27,565 : x
  2. Step 2: Convert to fraction form
    13,008/27,565 = 27,565/x
  3. Step 3: Cross multiply
    13,008x = 27,565 × 27,565
  4. Step 4: Simplify right side
    13,008x = 759,829,225
  5. Step 5: Solve for x
    x = 759,829,225/13,008
  6. Step 6: Final answer
    x = 58,412.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.