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Finding the Third Proportional to 21,536 and 46,476

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Solution

The third proportional to 21,536 and 46,476 is: 100,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536 : 46,476 = 46,476 : x
  2. Step 2: Convert to fraction form
    21,536/46,476 = 46,476/x
  3. Step 3: Cross multiply
    21,536x = 46,476 × 46,476
  4. Step 4: Simplify right side
    21,536x = 2,160,018,576
  5. Step 5: Solve for x
    x = 2,160,018,576/21,536
  6. Step 6: Final answer
    x = 100,298.04

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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.