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Finding the Third Proportional to 30,907.50 and 59,353.50

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Solution

The third proportional to 30,907.50 and 59,353.50 is: 113,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.50 : 59,353.50 = 59,353.50 : x
  2. Step 2: Convert to fraction form
    30,907.50/59,353.50 = 59,353.50/x
  3. Step 3: Cross multiply
    30,907.50x = 59,353.50 × 59,353.50
  4. Step 4: Simplify right side
    30,907.50x = 3,522,837,962.25
  5. Step 5: Solve for x
    x = 3,522,837,962.25/30,907.50
  6. Step 6: Final answer
    x = 113,980.04

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.