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Finding the Third Proportional to 6,461.69 and 8,898.04

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Solution

The third proportional to 6,461.69 and 8,898.04 is: 12,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.69 : 8,898.04 = 8,898.04 : x
  2. Step 2: Convert to fraction form
    6,461.69/8,898.04 = 8,898.04/x
  3. Step 3: Cross multiply
    6,461.69x = 8,898.04 × 8,898.04
  4. Step 4: Simplify right side
    6,461.69x = 79,175,042.68
  5. Step 5: Solve for x
    x = 79,175,042.68/6,461.69
  6. Step 6: Final answer
    x = 12,253.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.