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Finding the Third Proportional to 45,495 and 69,691.50

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Solution

The third proportional to 45,495 and 69,691.50 is: 106,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,495 : 69,691.50 = 69,691.50 : x
  2. Step 2: Convert to fraction form
    45,495/69,691.50 = 69,691.50/x
  3. Step 3: Cross multiply
    45,495x = 69,691.50 × 69,691.50
  4. Step 4: Simplify right side
    45,495x = 4,856,905,172.25
  5. Step 5: Solve for x
    x = 4,856,905,172.25/45,495
  6. Step 6: Final answer
    x = 106,756.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.