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Finding the Third Proportional to 6,209 and 7,586

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Solution

The third proportional to 6,209 and 7,586 is: 9,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209 : 7,586 = 7,586 : x
  2. Step 2: Convert to fraction form
    6,209/7,586 = 7,586/x
  3. Step 3: Cross multiply
    6,209x = 7,586 × 7,586
  4. Step 4: Simplify right side
    6,209x = 57,547,396
  5. Step 5: Solve for x
    x = 57,547,396/6,209
  6. Step 6: Final answer
    x = 9,268.38

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.