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Finding the Third Proportional to 28,564 and 59,714

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Solution

The third proportional to 28,564 and 59,714 is: 124,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564 : 59,714 = 59,714 : x
  2. Step 2: Convert to fraction form
    28,564/59,714 = 59,714/x
  3. Step 3: Cross multiply
    28,564x = 59,714 × 59,714
  4. Step 4: Simplify right side
    28,564x = 3,565,761,796
  5. Step 5: Solve for x
    x = 3,565,761,796/28,564
  6. Step 6: Final answer
    x = 124,834.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.