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Finding the Third Proportional to 19,241 and 28,784.50

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Solution

The third proportional to 19,241 and 28,784.50 is: 43,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,241 : 28,784.50 = 28,784.50 : x
  2. Step 2: Convert to fraction form
    19,241/28,784.50 = 28,784.50/x
  3. Step 3: Cross multiply
    19,241x = 28,784.50 × 28,784.50
  4. Step 4: Simplify right side
    19,241x = 828,547,440.25
  5. Step 5: Solve for x
    x = 828,547,440.25/19,241
  6. Step 6: Final answer
    x = 43,061.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.