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Finding the Third Proportional to 12,818.25 and 29,858.63

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Solution

The third proportional to 12,818.25 and 29,858.63 is: 69,552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.25 : 29,858.63 = 29,858.63 : x
  2. Step 2: Convert to fraction form
    12,818.25/29,858.63 = 29,858.63/x
  3. Step 3: Cross multiply
    12,818.25x = 29,858.63 × 29,858.63
  4. Step 4: Simplify right side
    12,818.25x = 891,537,486.89
  5. Step 5: Solve for x
    x = 891,537,486.89/12,818.25
  6. Step 6: Final answer
    x = 69,552.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.