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Finding the Third Proportional to 10,752 and 14,576

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Solution

The third proportional to 10,752 and 14,576 is: 19,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752 : 14,576 = 14,576 : x
  2. Step 2: Convert to fraction form
    10,752/14,576 = 14,576/x
  3. Step 3: Cross multiply
    10,752x = 14,576 × 14,576
  4. Step 4: Simplify right side
    10,752x = 212,459,776
  5. Step 5: Solve for x
    x = 212,459,776/10,752
  6. Step 6: Final answer
    x = 19,760.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.