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Finding the Third Proportional to 34,607.25 and 47,678.63

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Solution

The third proportional to 34,607.25 and 47,678.63 is: 65,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,607.25 : 47,678.63 = 47,678.63 : x
  2. Step 2: Convert to fraction form
    34,607.25/47,678.63 = 47,678.63/x
  3. Step 3: Cross multiply
    34,607.25x = 47,678.63 × 47,678.63
  4. Step 4: Simplify right side
    34,607.25x = 2,273,251,281.89
  5. Step 5: Solve for x
    x = 2,273,251,281.89/34,607.25
  6. Step 6: Final answer
    x = 65,687.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.