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Finding the Third Proportional to 28,191 and 43,345.50

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Solution

The third proportional to 28,191 and 43,345.50 is: 66,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,191 : 43,345.50 = 43,345.50 : x
  2. Step 2: Convert to fraction form
    28,191/43,345.50 = 43,345.50/x
  3. Step 3: Cross multiply
    28,191x = 43,345.50 × 43,345.50
  4. Step 4: Simplify right side
    28,191x = 1,878,832,370.25
  5. Step 5: Solve for x
    x = 1,878,832,370.25/28,191
  6. Step 6: Final answer
    x = 66,646.53

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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.