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Finding the Third Proportional to 14,830 and 22,955

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Solution

The third proportional to 14,830 and 22,955 is: 35,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830 : 22,955 = 22,955 : x
  2. Step 2: Convert to fraction form
    14,830/22,955 = 22,955/x
  3. Step 3: Cross multiply
    14,830x = 22,955 × 22,955
  4. Step 4: Simplify right side
    14,830x = 526,932,025
  5. Step 5: Solve for x
    x = 526,932,025/14,830
  6. Step 6: Final answer
    x = 35,531.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.