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Finding the Third Proportional to 45,684 and 66,811.50

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Solution

The third proportional to 45,684 and 66,811.50 is: 97,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,684 : 66,811.50 = 66,811.50 : x
  2. Step 2: Convert to fraction form
    45,684/66,811.50 = 66,811.50/x
  3. Step 3: Cross multiply
    45,684x = 66,811.50 × 66,811.50
  4. Step 4: Simplify right side
    45,684x = 4,463,776,532.25
  5. Step 5: Solve for x
    x = 4,463,776,532.25/45,684
  6. Step 6: Final answer
    x = 97,709.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.