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Finding the Third Proportional to 16,030.41 and 17,742.80

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Solution

The third proportional to 16,030.41 and 17,742.80 is: 19,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.41 : 17,742.80 = 17,742.80 : x
  2. Step 2: Convert to fraction form
    16,030.41/17,742.80 = 17,742.80/x
  3. Step 3: Cross multiply
    16,030.41x = 17,742.80 × 17,742.80
  4. Step 4: Simplify right side
    16,030.41x = 314,806,840.95
  5. Step 5: Solve for x
    x = 314,806,840.95/16,030.41
  6. Step 6: Final answer
    x = 19,638.11

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.