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Finding the Third Proportional to 15,261 and 23,332

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Solution

The third proportional to 15,261 and 23,332 is: 35,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261 : 23,332 = 23,332 : x
  2. Step 2: Convert to fraction form
    15,261/23,332 = 23,332/x
  3. Step 3: Cross multiply
    15,261x = 23,332 × 23,332
  4. Step 4: Simplify right side
    15,261x = 544,382,224
  5. Step 5: Solve for x
    x = 544,382,224/15,261
  6. Step 6: Final answer
    x = 35,671.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.