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Finding the Third Proportional to 4,547.81 and 6,943.22

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Solution

The third proportional to 4,547.81 and 6,943.22 is: 10,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.81 : 6,943.22 = 6,943.22 : x
  2. Step 2: Convert to fraction form
    4,547.81/6,943.22 = 6,943.22/x
  3. Step 3: Cross multiply
    4,547.81x = 6,943.22 × 6,943.22
  4. Step 4: Simplify right side
    4,547.81x = 48,208,286.61
  5. Step 5: Solve for x
    x = 48,208,286.61/4,547.81
  6. Step 6: Final answer
    x = 10,600.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.