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Finding the Third Proportional to 28,010 and 43,370

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Solution

The third proportional to 28,010 and 43,370 is: 67,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,010 : 43,370 = 43,370 : x
  2. Step 2: Convert to fraction form
    28,010/43,370 = 43,370/x
  3. Step 3: Cross multiply
    28,010x = 43,370 × 43,370
  4. Step 4: Simplify right side
    28,010x = 1,880,956,900
  5. Step 5: Solve for x
    x = 1,880,956,900/28,010
  6. Step 6: Final answer
    x = 67,153.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.