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Finding the Third Proportional to 30,525 and 63,388

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Solution

The third proportional to 30,525 and 63,388 is: 131,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525 : 63,388 = 63,388 : x
  2. Step 2: Convert to fraction form
    30,525/63,388 = 63,388/x
  3. Step 3: Cross multiply
    30,525x = 63,388 × 63,388
  4. Step 4: Simplify right side
    30,525x = 4,018,038,544
  5. Step 5: Solve for x
    x = 4,018,038,544/30,525
  6. Step 6: Final answer
    x = 131,631.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.