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Finding the Third Proportional to 9,201 and 14,575

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Solution

The third proportional to 9,201 and 14,575 is: 23,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 14,575 = 14,575 : x
  2. Step 2: Convert to fraction form
    9,201/14,575 = 14,575/x
  3. Step 3: Cross multiply
    9,201x = 14,575 × 14,575
  4. Step 4: Simplify right side
    9,201x = 212,430,625
  5. Step 5: Solve for x
    x = 212,430,625/9,201
  6. Step 6: Final answer
    x = 23,087.78

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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.