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Finding the Third Proportional to 30,705.33 and 48,827.81

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Solution

The third proportional to 30,705.33 and 48,827.81 is: 77,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.33 : 48,827.81 = 48,827.81 : x
  2. Step 2: Convert to fraction form
    30,705.33/48,827.81 = 48,827.81/x
  3. Step 3: Cross multiply
    30,705.33x = 48,827.81 × 48,827.81
  4. Step 4: Simplify right side
    30,705.33x = 2,384,155,273.54
  5. Step 5: Solve for x
    x = 2,384,155,273.54/30,705.33
  6. Step 6: Final answer
    x = 77,646.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.