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Finding the Third Proportional to 30,252.50 and 42,314.25

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Solution

The third proportional to 30,252.50 and 42,314.25 is: 59,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.50 : 42,314.25 = 42,314.25 : x
  2. Step 2: Convert to fraction form
    30,252.50/42,314.25 = 42,314.25/x
  3. Step 3: Cross multiply
    30,252.50x = 42,314.25 × 42,314.25
  4. Step 4: Simplify right side
    30,252.50x = 1,790,495,753.06
  5. Step 5: Solve for x
    x = 1,790,495,753.06/30,252.50
  6. Step 6: Final answer
    x = 59,185.05

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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.