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Finding the Third Proportional to 15,110 and 23,454.50

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Solution

The third proportional to 15,110 and 23,454.50 is: 36,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,110 : 23,454.50 = 23,454.50 : x
  2. Step 2: Convert to fraction form
    15,110/23,454.50 = 23,454.50/x
  3. Step 3: Cross multiply
    15,110x = 23,454.50 × 23,454.50
  4. Step 4: Simplify right side
    15,110x = 550,113,570.25
  5. Step 5: Solve for x
    x = 550,113,570.25/15,110
  6. Step 6: Final answer
    x = 36,407.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.