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Finding the Third Proportional to 4,486 and 6,585

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Solution

The third proportional to 4,486 and 6,585 is: 9,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486 : 6,585 = 6,585 : x
  2. Step 2: Convert to fraction form
    4,486/6,585 = 6,585/x
  3. Step 3: Cross multiply
    4,486x = 6,585 × 6,585
  4. Step 4: Simplify right side
    4,486x = 43,362,225
  5. Step 5: Solve for x
    x = 43,362,225/4,486
  6. Step 6: Final answer
    x = 9,666.12

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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.