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Finding the Third Proportional to 25,341.75 and 58,729.50

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Solution

The third proportional to 25,341.75 and 58,729.50 is: 136,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,341.75 : 58,729.50 = 58,729.50 : x
  2. Step 2: Convert to fraction form
    25,341.75/58,729.50 = 58,729.50/x
  3. Step 3: Cross multiply
    25,341.75x = 58,729.50 × 58,729.50
  4. Step 4: Simplify right side
    25,341.75x = 3,449,154,170.25
  5. Step 5: Solve for x
    x = 3,449,154,170.25/25,341.75
  6. Step 6: Final answer
    x = 136,105.60

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.