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Finding the Third Proportional to 1,676.50 and 2,615.88

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Solution

The third proportional to 1,676.50 and 2,615.88 is: 4,081.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.50 : 2,615.88 = 2,615.88 : x
  2. Step 2: Convert to fraction form
    1,676.50/2,615.88 = 2,615.88/x
  3. Step 3: Cross multiply
    1,676.50x = 2,615.88 × 2,615.88
  4. Step 4: Simplify right side
    1,676.50x = 6,842,802.02
  5. Step 5: Solve for x
    x = 6,842,802.02/1,676.50
  6. Step 6: Final answer
    x = 4,081.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.