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Finding the Third Proportional to 4,670 and 9,490

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Solution

The third proportional to 4,670 and 9,490 is: 19,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670 : 9,490 = 9,490 : x
  2. Step 2: Convert to fraction form
    4,670/9,490 = 9,490/x
  3. Step 3: Cross multiply
    4,670x = 9,490 × 9,490
  4. Step 4: Simplify right side
    4,670x = 90,060,100
  5. Step 5: Solve for x
    x = 90,060,100/4,670
  6. Step 6: Final answer
    x = 19,284.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.