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Finding the Third Proportional to 4,841.63 and 6,533.63

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Solution

The third proportional to 4,841.63 and 6,533.63 is: 8,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.63 : 6,533.63 = 6,533.63 : x
  2. Step 2: Convert to fraction form
    4,841.63/6,533.63 = 6,533.63/x
  3. Step 3: Cross multiply
    4,841.63x = 6,533.63 × 6,533.63
  4. Step 4: Simplify right side
    4,841.63x = 42,688,255.64
  5. Step 5: Solve for x
    x = 42,688,255.64/4,841.63
  6. Step 6: Final answer
    x = 8,816.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.