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Finding the Third Proportional to 12,830.63 and 27,578.25

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Solution

The third proportional to 12,830.63 and 27,578.25 is: 59,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.63 : 27,578.25 = 27,578.25 : x
  2. Step 2: Convert to fraction form
    12,830.63/27,578.25 = 27,578.25/x
  3. Step 3: Cross multiply
    12,830.63x = 27,578.25 × 27,578.25
  4. Step 4: Simplify right side
    12,830.63x = 760,559,873.06
  5. Step 5: Solve for x
    x = 760,559,873.06/12,830.63
  6. Step 6: Final answer
    x = 59,276.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.