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Finding the Third Proportional to 2,259 and 2,583

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Solution

The third proportional to 2,259 and 2,583 is: 2,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259 : 2,583 = 2,583 : x
  2. Step 2: Convert to fraction form
    2,259/2,583 = 2,583/x
  3. Step 3: Cross multiply
    2,259x = 2,583 × 2,583
  4. Step 4: Simplify right side
    2,259x = 6,671,889
  5. Step 5: Solve for x
    x = 6,671,889/2,259
  6. Step 6: Final answer
    x = 2,953.47

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.