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Finding the Third Proportional to 23,440 and 55,332

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Solution

The third proportional to 23,440 and 55,332 is: 130,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440 : 55,332 = 55,332 : x
  2. Step 2: Convert to fraction form
    23,440/55,332 = 55,332/x
  3. Step 3: Cross multiply
    23,440x = 55,332 × 55,332
  4. Step 4: Simplify right side
    23,440x = 3,061,630,224
  5. Step 5: Solve for x
    x = 3,061,630,224/23,440
  6. Step 6: Final answer
    x = 130,615.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.