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Finding the Third Proportional to 14,816 and 23,576

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Solution

The third proportional to 14,816 and 23,576 is: 37,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816 : 23,576 = 23,576 : x
  2. Step 2: Convert to fraction form
    14,816/23,576 = 23,576/x
  3. Step 3: Cross multiply
    14,816x = 23,576 × 23,576
  4. Step 4: Simplify right side
    14,816x = 555,827,776
  5. Step 5: Solve for x
    x = 555,827,776/14,816
  6. Step 6: Final answer
    x = 37,515.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.