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Finding the Third Proportional to 15,477 and 32,952

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Solution

The third proportional to 15,477 and 32,952 is: 70,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477 : 32,952 = 32,952 : x
  2. Step 2: Convert to fraction form
    15,477/32,952 = 32,952/x
  3. Step 3: Cross multiply
    15,477x = 32,952 × 32,952
  4. Step 4: Simplify right side
    15,477x = 1,085,834,304
  5. Step 5: Solve for x
    x = 1,085,834,304/15,477
  6. Step 6: Final answer
    x = 70,157.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.