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Finding the Third Proportional to 45,907.88 and 68,648.63

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Solution

The third proportional to 45,907.88 and 68,648.63 is: 102,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,907.88 : 68,648.63 = 68,648.63 : x
  2. Step 2: Convert to fraction form
    45,907.88/68,648.63 = 68,648.63/x
  3. Step 3: Cross multiply
    45,907.88x = 68,648.63 × 68,648.63
  4. Step 4: Simplify right side
    45,907.88x = 4,712,633,714.39
  5. Step 5: Solve for x
    x = 4,712,633,714.39/45,907.88
  6. Step 6: Final answer
    x = 102,654.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.