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Finding the Third Proportional to 30,056.25 and 64,281.75

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Solution

The third proportional to 30,056.25 and 64,281.75 is: 137,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,056.25 : 64,281.75 = 64,281.75 : x
  2. Step 2: Convert to fraction form
    30,056.25/64,281.75 = 64,281.75/x
  3. Step 3: Cross multiply
    30,056.25x = 64,281.75 × 64,281.75
  4. Step 4: Simplify right side
    30,056.25x = 4,132,143,383.06
  5. Step 5: Solve for x
    x = 4,132,143,383.06/30,056.25
  6. Step 6: Final answer
    x = 137,480.34

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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.