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Finding the Third Proportional to 30,888 and 51,124.50

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Solution

The third proportional to 30,888 and 51,124.50 is: 84,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,888 : 51,124.50 = 51,124.50 : x
  2. Step 2: Convert to fraction form
    30,888/51,124.50 = 51,124.50/x
  3. Step 3: Cross multiply
    30,888x = 51,124.50 × 51,124.50
  4. Step 4: Simplify right side
    30,888x = 2,613,714,500.25
  5. Step 5: Solve for x
    x = 2,613,714,500.25/30,888
  6. Step 6: Final answer
    x = 84,619.09

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.