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Finding the Third Proportional to 5,284.13 and 9,713.63

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Solution

The third proportional to 5,284.13 and 9,713.63 is: 17,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.13 : 9,713.63 = 9,713.63 : x
  2. Step 2: Convert to fraction form
    5,284.13/9,713.63 = 9,713.63/x
  3. Step 3: Cross multiply
    5,284.13x = 9,713.63 × 9,713.63
  4. Step 4: Simplify right side
    5,284.13x = 94,354,510.64
  5. Step 5: Solve for x
    x = 94,354,510.64/5,284.13
  6. Step 6: Final answer
    x = 17,856.22

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.