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Finding the Third Proportional to 32,064 and 45,136

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Solution

The third proportional to 32,064 and 45,136 is: 63,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064 : 45,136 = 45,136 : x
  2. Step 2: Convert to fraction form
    32,064/45,136 = 45,136/x
  3. Step 3: Cross multiply
    32,064x = 45,136 × 45,136
  4. Step 4: Simplify right side
    32,064x = 2,037,258,496
  5. Step 5: Solve for x
    x = 2,037,258,496/32,064
  6. Step 6: Final answer
    x = 63,537.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.