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Finding the Third Proportional to 2,646.93 and 3,897.07

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Solution

The third proportional to 2,646.93 and 3,897.07 is: 5,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.93 : 3,897.07 = 3,897.07 : x
  2. Step 2: Convert to fraction form
    2,646.93/3,897.07 = 3,897.07/x
  3. Step 3: Cross multiply
    2,646.93x = 3,897.07 × 3,897.07
  4. Step 4: Simplify right side
    2,646.93x = 15,187,157.02
  5. Step 5: Solve for x
    x = 15,187,157.02/2,646.93
  6. Step 6: Final answer
    x = 5,737.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.