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Finding the Third Proportional to 23,152 and 34,576

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Solution

The third proportional to 23,152 and 34,576 is: 51,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152 : 34,576 = 34,576 : x
  2. Step 2: Convert to fraction form
    23,152/34,576 = 34,576/x
  3. Step 3: Cross multiply
    23,152x = 34,576 × 34,576
  4. Step 4: Simplify right side
    23,152x = 1,195,499,776
  5. Step 5: Solve for x
    x = 1,195,499,776/23,152
  6. Step 6: Final answer
    x = 51,637.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.