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Finding the Third Proportional to 4,725.80 and 10,316.30

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Solution

The third proportional to 4,725.80 and 10,316.30 is: 22,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.80 : 10,316.30 = 10,316.30 : x
  2. Step 2: Convert to fraction form
    4,725.80/10,316.30 = 10,316.30/x
  3. Step 3: Cross multiply
    4,725.80x = 10,316.30 × 10,316.30
  4. Step 4: Simplify right side
    4,725.80x = 106,425,981.21
  5. Step 5: Solve for x
    x = 106,425,981.21/4,725.80
  6. Step 6: Final answer
    x = 22,520.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.