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Finding the Third Proportional to 4,461.50 and 6,705.50

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Solution

The third proportional to 4,461.50 and 6,705.50 is: 10,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.50 : 6,705.50 = 6,705.50 : x
  2. Step 2: Convert to fraction form
    4,461.50/6,705.50 = 6,705.50/x
  3. Step 3: Cross multiply
    4,461.50x = 6,705.50 × 6,705.50
  4. Step 4: Simplify right side
    4,461.50x = 44,963,730.25
  5. Step 5: Solve for x
    x = 44,963,730.25/4,461.50
  6. Step 6: Final answer
    x = 10,078.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.