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Finding the Third Proportional to 16,869 and 26,005.50

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Solution

The third proportional to 16,869 and 26,005.50 is: 40,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869 : 26,005.50 = 26,005.50 : x
  2. Step 2: Convert to fraction form
    16,869/26,005.50 = 26,005.50/x
  3. Step 3: Cross multiply
    16,869x = 26,005.50 × 26,005.50
  4. Step 4: Simplify right side
    16,869x = 676,286,030.25
  5. Step 5: Solve for x
    x = 676,286,030.25/16,869
  6. Step 6: Final answer
    x = 40,090.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.