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Finding the Third Proportional to 2,897 and 4,539

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Solution

The third proportional to 2,897 and 4,539 is: 7,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897 : 4,539 = 4,539 : x
  2. Step 2: Convert to fraction form
    2,897/4,539 = 4,539/x
  3. Step 3: Cross multiply
    2,897x = 4,539 × 4,539
  4. Step 4: Simplify right side
    2,897x = 20,602,521
  5. Step 5: Solve for x
    x = 20,602,521/2,897
  6. Step 6: Final answer
    x = 7,111.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.