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Finding the Third Proportional to 30,328.50 and 42,415.50

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Solution

The third proportional to 30,328.50 and 42,415.50 is: 59,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,328.50 : 42,415.50 = 42,415.50 : x
  2. Step 2: Convert to fraction form
    30,328.50/42,415.50 = 42,415.50/x
  3. Step 3: Cross multiply
    30,328.50x = 42,415.50 × 42,415.50
  4. Step 4: Simplify right side
    30,328.50x = 1,799,074,640.25
  5. Step 5: Solve for x
    x = 1,799,074,640.25/30,328.50
  6. Step 6: Final answer
    x = 59,319.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.