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Finding the Third Proportional to 23,075.93 and 34,575.40

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Solution

The third proportional to 23,075.93 and 34,575.40 is: 51,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.93 : 34,575.40 = 34,575.40 : x
  2. Step 2: Convert to fraction form
    23,075.93/34,575.40 = 34,575.40/x
  3. Step 3: Cross multiply
    23,075.93x = 34,575.40 × 34,575.40
  4. Step 4: Simplify right side
    23,075.93x = 1,195,458,177.11
  5. Step 5: Solve for x
    x = 1,195,458,177.11/23,075.93
  6. Step 6: Final answer
    x = 51,805.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.