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Finding the Third Proportional to 30,787.88 and 46,802.63

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Solution

The third proportional to 30,787.88 and 46,802.63 is: 71,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.88 : 46,802.63 = 46,802.63 : x
  2. Step 2: Convert to fraction form
    30,787.88/46,802.63 = 46,802.63/x
  3. Step 3: Cross multiply
    30,787.88x = 46,802.63 × 46,802.63
  4. Step 4: Simplify right side
    30,787.88x = 2,190,485,706.89
  5. Step 5: Solve for x
    x = 2,190,485,706.89/30,787.88
  6. Step 6: Final answer
    x = 71,147.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.