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Finding the Third Proportional to 25,981 and 56,113.50

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Solution

The third proportional to 25,981 and 56,113.50 is: 121,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981 : 56,113.50 = 56,113.50 : x
  2. Step 2: Convert to fraction form
    25,981/56,113.50 = 56,113.50/x
  3. Step 3: Cross multiply
    25,981x = 56,113.50 × 56,113.50
  4. Step 4: Simplify right side
    25,981x = 3,148,724,882.25
  5. Step 5: Solve for x
    x = 3,148,724,882.25/25,981
  6. Step 6: Final answer
    x = 121,193.37

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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.