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Finding the Third Proportional to 12,752 and 30,152

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Solution

The third proportional to 12,752 and 30,152 is: 71,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752 : 30,152 = 30,152 : x
  2. Step 2: Convert to fraction form
    12,752/30,152 = 30,152/x
  3. Step 3: Cross multiply
    12,752x = 30,152 × 30,152
  4. Step 4: Simplify right side
    12,752x = 909,143,104
  5. Step 5: Solve for x
    x = 909,143,104/12,752
  6. Step 6: Final answer
    x = 71,294.16

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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.