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Finding the Third Proportional to 34,435.50 and 53,210.25

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Solution

The third proportional to 34,435.50 and 53,210.25 is: 82,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435.50 : 53,210.25 = 53,210.25 : x
  2. Step 2: Convert to fraction form
    34,435.50/53,210.25 = 53,210.25/x
  3. Step 3: Cross multiply
    34,435.50x = 53,210.25 × 53,210.25
  4. Step 4: Simplify right side
    34,435.50x = 2,831,330,705.06
  5. Step 5: Solve for x
    x = 2,831,330,705.06/34,435.50
  6. Step 6: Final answer
    x = 82,221.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.