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Finding the Third Proportional to 19,209 and 28,078.50

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Solution

The third proportional to 19,209 and 28,078.50 is: 41,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 28,078.50 = 28,078.50 : x
  2. Step 2: Convert to fraction form
    19,209/28,078.50 = 28,078.50/x
  3. Step 3: Cross multiply
    19,209x = 28,078.50 × 28,078.50
  4. Step 4: Simplify right side
    19,209x = 788,402,162.25
  5. Step 5: Solve for x
    x = 788,402,162.25/19,209
  6. Step 6: Final answer
    x = 41,043.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.