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Finding the Third Proportional to 6,461.44 and 9,316.13

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Solution

The third proportional to 6,461.44 and 9,316.13 is: 13,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.44 : 9,316.13 = 9,316.13 : x
  2. Step 2: Convert to fraction form
    6,461.44/9,316.13 = 9,316.13/x
  3. Step 3: Cross multiply
    6,461.44x = 9,316.13 × 9,316.13
  4. Step 4: Simplify right side
    6,461.44x = 86,790,185.02
  5. Step 5: Solve for x
    x = 86,790,185.02/6,461.44
  6. Step 6: Final answer
    x = 13,432.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.