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Finding the Third Proportional to 30,536 and 66,056

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Solution

The third proportional to 30,536 and 66,056 is: 142,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536 : 66,056 = 66,056 : x
  2. Step 2: Convert to fraction form
    30,536/66,056 = 66,056/x
  3. Step 3: Cross multiply
    30,536x = 66,056 × 66,056
  4. Step 4: Simplify right side
    30,536x = 4,363,395,136
  5. Step 5: Solve for x
    x = 4,363,395,136/30,536
  6. Step 6: Final answer
    x = 142,893.47

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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.