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Finding the Third Proportional to 45,929 and 65,007.75

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Solution

The third proportional to 45,929 and 65,007.75 is: 92,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,929 : 65,007.75 = 65,007.75 : x
  2. Step 2: Convert to fraction form
    45,929/65,007.75 = 65,007.75/x
  3. Step 3: Cross multiply
    45,929x = 65,007.75 × 65,007.75
  4. Step 4: Simplify right side
    45,929x = 4,226,007,560.06
  5. Step 5: Solve for x
    x = 4,226,007,560.06/45,929
  6. Step 6: Final answer
    x = 92,011.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.