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Finding the Third Proportional to 14,480 and 23,036

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Solution

The third proportional to 14,480 and 23,036 is: 36,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480 : 23,036 = 23,036 : x
  2. Step 2: Convert to fraction form
    14,480/23,036 = 23,036/x
  3. Step 3: Cross multiply
    14,480x = 23,036 × 23,036
  4. Step 4: Simplify right side
    14,480x = 530,657,296
  5. Step 5: Solve for x
    x = 530,657,296/14,480
  6. Step 6: Final answer
    x = 36,647.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.