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Finding the Third Proportional to 16,123.50 and 33,386.50

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Solution

The third proportional to 16,123.50 and 33,386.50 is: 69,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.50 : 33,386.50 = 33,386.50 : x
  2. Step 2: Convert to fraction form
    16,123.50/33,386.50 = 33,386.50/x
  3. Step 3: Cross multiply
    16,123.50x = 33,386.50 × 33,386.50
  4. Step 4: Simplify right side
    16,123.50x = 1,114,658,382.25
  5. Step 5: Solve for x
    x = 1,114,658,382.25/16,123.50
  6. Step 6: Final answer
    x = 69,132.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.