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Finding the Third Proportional to 30,210.38 and 64,796.25

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Solution

The third proportional to 30,210.38 and 64,796.25 is: 138,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.38 : 64,796.25 = 64,796.25 : x
  2. Step 2: Convert to fraction form
    30,210.38/64,796.25 = 64,796.25/x
  3. Step 3: Cross multiply
    30,210.38x = 64,796.25 × 64,796.25
  4. Step 4: Simplify right side
    30,210.38x = 4,198,554,014.06
  5. Step 5: Solve for x
    x = 4,198,554,014.06/30,210.38
  6. Step 6: Final answer
    x = 138,977.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.