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Finding the Third Proportional to 2,910 and 6,585

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Solution

The third proportional to 2,910 and 6,585 is: 14,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910 : 6,585 = 6,585 : x
  2. Step 2: Convert to fraction form
    2,910/6,585 = 6,585/x
  3. Step 3: Cross multiply
    2,910x = 6,585 × 6,585
  4. Step 4: Simplify right side
    2,910x = 43,362,225
  5. Step 5: Solve for x
    x = 43,362,225/2,910
  6. Step 6: Final answer
    x = 14,901.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.