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Finding the Third Proportional to 25,358 and 54,818

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Solution

The third proportional to 25,358 and 54,818 is: 118,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358 : 54,818 = 54,818 : x
  2. Step 2: Convert to fraction form
    25,358/54,818 = 54,818/x
  3. Step 3: Cross multiply
    25,358x = 54,818 × 54,818
  4. Step 4: Simplify right side
    25,358x = 3,005,013,124
  5. Step 5: Solve for x
    x = 3,005,013,124/25,358
  6. Step 6: Final answer
    x = 118,503.55

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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.