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Finding the Third Proportional to 4,090 and 4,657

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Solution

The third proportional to 4,090 and 4,657 is: 5,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090 : 4,657 = 4,657 : x
  2. Step 2: Convert to fraction form
    4,090/4,657 = 4,657/x
  3. Step 3: Cross multiply
    4,090x = 4,657 × 4,657
  4. Step 4: Simplify right side
    4,090x = 21,687,649
  5. Step 5: Solve for x
    x = 21,687,649/4,090
  6. Step 6: Final answer
    x = 5,302.60

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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.