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Finding the Third Proportional to 15,457 and 33,101

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Solution

The third proportional to 15,457 and 33,101 is: 70,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,457 : 33,101 = 33,101 : x
  2. Step 2: Convert to fraction form
    15,457/33,101 = 33,101/x
  3. Step 3: Cross multiply
    15,457x = 33,101 × 33,101
  4. Step 4: Simplify right side
    15,457x = 1,095,676,201
  5. Step 5: Solve for x
    x = 1,095,676,201/15,457
  6. Step 6: Final answer
    x = 70,885.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.