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Finding the Third Proportional to 29,960 and 65,752

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Solution

The third proportional to 29,960 and 65,752 is: 144,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,960 : 65,752 = 65,752 : x
  2. Step 2: Convert to fraction form
    29,960/65,752 = 65,752/x
  3. Step 3: Cross multiply
    29,960x = 65,752 × 65,752
  4. Step 4: Simplify right side
    29,960x = 4,323,325,504
  5. Step 5: Solve for x
    x = 4,323,325,504/29,960
  6. Step 6: Final answer
    x = 144,303.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.