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Finding the Third Proportional to 45,289.13 and 64,683.56

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Solution

The third proportional to 45,289.13 and 64,683.56 is: 92,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,289.13 : 64,683.56 = 64,683.56 : x
  2. Step 2: Convert to fraction form
    45,289.13/64,683.56 = 64,683.56/x
  3. Step 3: Cross multiply
    45,289.13x = 64,683.56 × 64,683.56
  4. Step 4: Simplify right side
    45,289.13x = 4,183,963,257.69
  5. Step 5: Solve for x
    x = 4,183,963,257.69/45,289.13
  6. Step 6: Final answer
    x = 92,383.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.