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Finding the Third Proportional to 28,569 and 63,762

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Solution

The third proportional to 28,569 and 63,762 is: 142,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,569 : 63,762 = 63,762 : x
  2. Step 2: Convert to fraction form
    28,569/63,762 = 63,762/x
  3. Step 3: Cross multiply
    28,569x = 63,762 × 63,762
  4. Step 4: Simplify right side
    28,569x = 4,065,592,644
  5. Step 5: Solve for x
    x = 4,065,592,644/28,569
  6. Step 6: Final answer
    x = 142,307.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.