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Finding the Third Proportional to 28,490 and 61,894

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Solution

The third proportional to 28,490 and 61,894 is: 134,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,490 : 61,894 = 61,894 : x
  2. Step 2: Convert to fraction form
    28,490/61,894 = 61,894/x
  3. Step 3: Cross multiply
    28,490x = 61,894 × 61,894
  4. Step 4: Simplify right side
    28,490x = 3,830,867,236
  5. Step 5: Solve for x
    x = 3,830,867,236/28,490
  6. Step 6: Final answer
    x = 134,463.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.