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Finding the Third Proportional to 30,537 and 48,573

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Solution

The third proportional to 30,537 and 48,573 is: 77,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537 : 48,573 = 48,573 : x
  2. Step 2: Convert to fraction form
    30,537/48,573 = 48,573/x
  3. Step 3: Cross multiply
    30,537x = 48,573 × 48,573
  4. Step 4: Simplify right side
    30,537x = 2,359,336,329
  5. Step 5: Solve for x
    x = 2,359,336,329/30,537
  6. Step 6: Final answer
    x = 77,261.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.