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Finding the Third Proportional to 14,560 and 16,072

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Solution

The third proportional to 14,560 and 16,072 is: 17,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 16,072 = 16,072 : x
  2. Step 2: Convert to fraction form
    14,560/16,072 = 16,072/x
  3. Step 3: Cross multiply
    14,560x = 16,072 × 16,072
  4. Step 4: Simplify right side
    14,560x = 258,309,184
  5. Step 5: Solve for x
    x = 258,309,184/14,560
  6. Step 6: Final answer
    x = 17,741.02

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.