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Finding the Third Proportional to 29,762 and 65,476

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Solution

The third proportional to 29,762 and 65,476 is: 144,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762 : 65,476 = 65,476 : x
  2. Step 2: Convert to fraction form
    29,762/65,476 = 65,476/x
  3. Step 3: Cross multiply
    29,762x = 65,476 × 65,476
  4. Step 4: Simplify right side
    29,762x = 4,287,106,576
  5. Step 5: Solve for x
    x = 4,287,106,576/29,762
  6. Step 6: Final answer
    x = 144,046.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.