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Finding the Third Proportional to 15,201 and 23,004

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Solution

The third proportional to 15,201 and 23,004 is: 34,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201 : 23,004 = 23,004 : x
  2. Step 2: Convert to fraction form
    15,201/23,004 = 23,004/x
  3. Step 3: Cross multiply
    15,201x = 23,004 × 23,004
  4. Step 4: Simplify right side
    15,201x = 529,184,016
  5. Step 5: Solve for x
    x = 529,184,016/15,201
  6. Step 6: Final answer
    x = 34,812.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.