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Finding the Third Proportional to 25,582 and 54,715

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Solution

The third proportional to 25,582 and 54,715 is: 117,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582 : 54,715 = 54,715 : x
  2. Step 2: Convert to fraction form
    25,582/54,715 = 54,715/x
  3. Step 3: Cross multiply
    25,582x = 54,715 × 54,715
  4. Step 4: Simplify right side
    25,582x = 2,993,731,225
  5. Step 5: Solve for x
    x = 2,993,731,225/25,582
  6. Step 6: Final answer
    x = 117,024.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.