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Finding the Third Proportional to 15,037 and 32,954

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Solution

The third proportional to 15,037 and 32,954 is: 72,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,037 : 32,954 = 32,954 : x
  2. Step 2: Convert to fraction form
    15,037/32,954 = 32,954/x
  3. Step 3: Cross multiply
    15,037x = 32,954 × 32,954
  4. Step 4: Simplify right side
    15,037x = 1,085,966,116
  5. Step 5: Solve for x
    x = 1,085,966,116/15,037
  6. Step 6: Final answer
    x = 72,219.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.