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Finding the Third Proportional to 9,970 and 15,766

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Solution

The third proportional to 9,970 and 15,766 is: 24,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970 : 15,766 = 15,766 : x
  2. Step 2: Convert to fraction form
    9,970/15,766 = 15,766/x
  3. Step 3: Cross multiply
    9,970x = 15,766 × 15,766
  4. Step 4: Simplify right side
    9,970x = 248,566,756
  5. Step 5: Solve for x
    x = 248,566,756/9,970
  6. Step 6: Final answer
    x = 24,931.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.