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Finding the Third Proportional to 5,547.68 and 7,803.16

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Solution

The third proportional to 5,547.68 and 7,803.16 is: 10,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.68 : 7,803.16 = 7,803.16 : x
  2. Step 2: Convert to fraction form
    5,547.68/7,803.16 = 7,803.16/x
  3. Step 3: Cross multiply
    5,547.68x = 7,803.16 × 7,803.16
  4. Step 4: Simplify right side
    5,547.68x = 60,889,369.39
  5. Step 5: Solve for x
    x = 60,889,369.39/5,547.68
  6. Step 6: Final answer
    x = 10,975.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.