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Finding the Third Proportional to 4,316.50 and 6,824.63

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Solution

The third proportional to 4,316.50 and 6,824.63 is: 10,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.50 : 6,824.63 = 6,824.63 : x
  2. Step 2: Convert to fraction form
    4,316.50/6,824.63 = 6,824.63/x
  3. Step 3: Cross multiply
    4,316.50x = 6,824.63 × 6,824.63
  4. Step 4: Simplify right side
    4,316.50x = 46,575,506.39
  5. Step 5: Solve for x
    x = 46,575,506.39/4,316.50
  6. Step 6: Final answer
    x = 10,790.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.