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Finding the Third Proportional to 34,363.62 and 53,208.14

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Solution

The third proportional to 34,363.62 and 53,208.14 is: 82,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,363.62 : 53,208.14 = 53,208.14 : x
  2. Step 2: Convert to fraction form
    34,363.62/53,208.14 = 53,208.14/x
  3. Step 3: Cross multiply
    34,363.62x = 53,208.14 × 53,208.14
  4. Step 4: Simplify right side
    34,363.62x = 2,831,106,228.77
  5. Step 5: Solve for x
    x = 2,831,106,228.77/34,363.62
  6. Step 6: Final answer
    x = 82,386.74

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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.