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Finding the Third Proportional to 46,576.13 and 100,530

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Solution

The third proportional to 46,576.13 and 100,530 is: 216,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,576.13 : 100,530 = 100,530 : x
  2. Step 2: Convert to fraction form
    46,576.13/100,530 = 100,530/x
  3. Step 3: Cross multiply
    46,576.13x = 100,530 × 100,530
  4. Step 4: Simplify right side
    46,576.13x = 10,106,280,900
  5. Step 5: Solve for x
    x = 10,106,280,900/46,576.13
  6. Step 6: Final answer
    x = 216,984.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.