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Finding the Third Proportional to 2,275.88 and 3,513.38

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Solution

The third proportional to 2,275.88 and 3,513.38 is: 5,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.88 : 3,513.38 = 3,513.38 : x
  2. Step 2: Convert to fraction form
    2,275.88/3,513.38 = 3,513.38/x
  3. Step 3: Cross multiply
    2,275.88x = 3,513.38 × 3,513.38
  4. Step 4: Simplify right side
    2,275.88x = 12,343,803.89
  5. Step 5: Solve for x
    x = 12,343,803.89/2,275.88
  6. Step 6: Final answer
    x = 5,423.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.