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Finding the Third Proportional to 2,457.84 and 5,697.84

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Solution

The third proportional to 2,457.84 and 5,697.84 is: 13,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.84 : 5,697.84 = 5,697.84 : x
  2. Step 2: Convert to fraction form
    2,457.84/5,697.84 = 5,697.84/x
  3. Step 3: Cross multiply
    2,457.84x = 5,697.84 × 5,697.84
  4. Step 4: Simplify right side
    2,457.84x = 32,465,423.40
  5. Step 5: Solve for x
    x = 32,465,423.40/2,457.84
  6. Step 6: Final answer
    x = 13,208.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.