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Finding the Third Proportional to 19,075.50 and 29,691.56

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Solution

The third proportional to 19,075.50 and 29,691.56 is: 46,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.50 : 29,691.56 = 29,691.56 : x
  2. Step 2: Convert to fraction form
    19,075.50/29,691.56 = 29,691.56/x
  3. Step 3: Cross multiply
    19,075.50x = 29,691.56 × 29,691.56
  4. Step 4: Simplify right side
    19,075.50x = 881,588,883.69
  5. Step 5: Solve for x
    x = 881,588,883.69/19,075.50
  6. Step 6: Final answer
    x = 46,215.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.