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Finding the Third Proportional to 30,807 and 64,509.75

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Solution

The third proportional to 30,807 and 64,509.75 is: 135,083.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807 : 64,509.75 = 64,509.75 : x
  2. Step 2: Convert to fraction form
    30,807/64,509.75 = 64,509.75/x
  3. Step 3: Cross multiply
    30,807x = 64,509.75 × 64,509.75
  4. Step 4: Simplify right side
    30,807x = 4,161,507,845.06
  5. Step 5: Solve for x
    x = 4,161,507,845.06/30,807
  6. Step 6: Final answer
    x = 135,083.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.