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Finding the Third Proportional to 19,075 and 40,294

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Solution

The third proportional to 19,075 and 40,294 is: 85,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075 : 40,294 = 40,294 : x
  2. Step 2: Convert to fraction form
    19,075/40,294 = 40,294/x
  3. Step 3: Cross multiply
    19,075x = 40,294 × 40,294
  4. Step 4: Simplify right side
    19,075x = 1,623,606,436
  5. Step 5: Solve for x
    x = 1,623,606,436/19,075
  6. Step 6: Final answer
    x = 85,116.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.