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Finding the Third Proportional to 28,157.06 and 61,214.63

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Solution

The third proportional to 28,157.06 and 61,214.63 is: 133,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.06 : 61,214.63 = 61,214.63 : x
  2. Step 2: Convert to fraction form
    28,157.06/61,214.63 = 61,214.63/x
  3. Step 3: Cross multiply
    28,157.06x = 61,214.63 × 61,214.63
  4. Step 4: Simplify right side
    28,157.06x = 3,747,230,313.89
  5. Step 5: Solve for x
    x = 3,747,230,313.89/28,157.06
  6. Step 6: Final answer
    x = 133,083.14

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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.