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Finding the Third Proportional to 25,630 and 56,308

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Solution

The third proportional to 25,630 and 56,308 is: 123,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,630 : 56,308 = 56,308 : x
  2. Step 2: Convert to fraction form
    25,630/56,308 = 56,308/x
  3. Step 3: Cross multiply
    25,630x = 56,308 × 56,308
  4. Step 4: Simplify right side
    25,630x = 3,170,590,864
  5. Step 5: Solve for x
    x = 3,170,590,864/25,630
  6. Step 6: Final answer
    x = 123,706.24

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.