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Finding the Third Proportional to 9,730 and 14,838

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Solution

The third proportional to 9,730 and 14,838 is: 22,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730 : 14,838 = 14,838 : x
  2. Step 2: Convert to fraction form
    9,730/14,838 = 14,838/x
  3. Step 3: Cross multiply
    9,730x = 14,838 × 14,838
  4. Step 4: Simplify right side
    9,730x = 220,166,244
  5. Step 5: Solve for x
    x = 220,166,244/9,730
  6. Step 6: Final answer
    x = 22,627.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.