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Finding the Third Proportional to 19,136 and 45,248

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Solution

The third proportional to 19,136 and 45,248 is: 106,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136 : 45,248 = 45,248 : x
  2. Step 2: Convert to fraction form
    19,136/45,248 = 45,248/x
  3. Step 3: Cross multiply
    19,136x = 45,248 × 45,248
  4. Step 4: Simplify right side
    19,136x = 2,047,381,504
  5. Step 5: Solve for x
    x = 2,047,381,504/19,136
  6. Step 6: Final answer
    x = 106,991.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.