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Finding the Third Proportional to 4,683.45 and 10,864.76

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Solution

The third proportional to 4,683.45 and 10,864.76 is: 25,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.45 : 10,864.76 = 10,864.76 : x
  2. Step 2: Convert to fraction form
    4,683.45/10,864.76 = 10,864.76/x
  3. Step 3: Cross multiply
    4,683.45x = 10,864.76 × 10,864.76
  4. Step 4: Simplify right side
    4,683.45x = 118,042,962.32
  5. Step 5: Solve for x
    x = 118,042,962.32/4,683.45
  6. Step 6: Final answer
    x = 25,204.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.