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Finding the Third Proportional to 19,136 and 40,588.50

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Solution

The third proportional to 19,136 and 40,588.50 is: 86,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136 : 40,588.50 = 40,588.50 : x
  2. Step 2: Convert to fraction form
    19,136/40,588.50 = 40,588.50/x
  3. Step 3: Cross multiply
    19,136x = 40,588.50 × 40,588.50
  4. Step 4: Simplify right side
    19,136x = 1,647,426,332.25
  5. Step 5: Solve for x
    x = 1,647,426,332.25/19,136
  6. Step 6: Final answer
    x = 86,090.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.