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Finding the Third Proportional to 34,533.84 and 75,560.34

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Solution

The third proportional to 34,533.84 and 75,560.34 is: 165,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533.84 : 75,560.34 = 75,560.34 : x
  2. Step 2: Convert to fraction form
    34,533.84/75,560.34 = 75,560.34/x
  3. Step 3: Cross multiply
    34,533.84x = 75,560.34 × 75,560.34
  4. Step 4: Simplify right side
    34,533.84x = 5,709,365,547.62
  5. Step 5: Solve for x
    x = 5,709,365,547.62/34,533.84
  6. Step 6: Final answer
    x = 165,326.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.