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Finding the Third Proportional to 25,998 and 56,143.50

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Solution

The third proportional to 25,998 and 56,143.50 is: 121,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998 : 56,143.50 = 56,143.50 : x
  2. Step 2: Convert to fraction form
    25,998/56,143.50 = 56,143.50/x
  3. Step 3: Cross multiply
    25,998x = 56,143.50 × 56,143.50
  4. Step 4: Simplify right side
    25,998x = 3,152,092,592.25
  5. Step 5: Solve for x
    x = 3,152,092,592.25/25,998
  6. Step 6: Final answer
    x = 121,243.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.