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Finding the Third Proportional to 16,575 and 26,280

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Solution

The third proportional to 16,575 and 26,280 is: 41,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575 : 26,280 = 26,280 : x
  2. Step 2: Convert to fraction form
    16,575/26,280 = 26,280/x
  3. Step 3: Cross multiply
    16,575x = 26,280 × 26,280
  4. Step 4: Simplify right side
    16,575x = 690,638,400
  5. Step 5: Solve for x
    x = 690,638,400/16,575
  6. Step 6: Final answer
    x = 41,667.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.