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Finding the Third Proportional to 12,020 and 16,078

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Solution

The third proportional to 12,020 and 16,078 is: 21,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020 : 16,078 = 16,078 : x
  2. Step 2: Convert to fraction form
    12,020/16,078 = 16,078/x
  3. Step 3: Cross multiply
    12,020x = 16,078 × 16,078
  4. Step 4: Simplify right side
    12,020x = 258,502,084
  5. Step 5: Solve for x
    x = 258,502,084/12,020
  6. Step 6: Final answer
    x = 21,506.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.