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Finding the Third Proportional to 35,714 and 52,465

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Solution

The third proportional to 35,714 and 52,465 is: 77,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714 : 52,465 = 52,465 : x
  2. Step 2: Convert to fraction form
    35,714/52,465 = 52,465/x
  3. Step 3: Cross multiply
    35,714x = 52,465 × 52,465
  4. Step 4: Simplify right side
    35,714x = 2,752,576,225
  5. Step 5: Solve for x
    x = 2,752,576,225/35,714
  6. Step 6: Final answer
    x = 77,072.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.