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Finding the Third Proportional to 14,870 and 23,015

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Solution

The third proportional to 14,870 and 23,015 is: 35,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870 : 23,015 = 23,015 : x
  2. Step 2: Convert to fraction form
    14,870/23,015 = 23,015/x
  3. Step 3: Cross multiply
    14,870x = 23,015 × 23,015
  4. Step 4: Simplify right side
    14,870x = 529,690,225
  5. Step 5: Solve for x
    x = 529,690,225/14,870
  6. Step 6: Final answer
    x = 35,621.40

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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.