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Finding the Third Proportional to 35,907.75 and 59,638.50

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Solution

The third proportional to 35,907.75 and 59,638.50 is: 99,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,907.75 : 59,638.50 = 59,638.50 : x
  2. Step 2: Convert to fraction form
    35,907.75/59,638.50 = 59,638.50/x
  3. Step 3: Cross multiply
    35,907.75x = 59,638.50 × 59,638.50
  4. Step 4: Simplify right side
    35,907.75x = 3,556,750,682.25
  5. Step 5: Solve for x
    x = 3,556,750,682.25/35,907.75
  6. Step 6: Final answer
    x = 99,052.45

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.