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Finding the Third Proportional to 14,670 and 37,071

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Solution

The third proportional to 14,670 and 37,071 is: 93,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670 : 37,071 = 37,071 : x
  2. Step 2: Convert to fraction form
    14,670/37,071 = 37,071/x
  3. Step 3: Cross multiply
    14,670x = 37,071 × 37,071
  4. Step 4: Simplify right side
    14,670x = 1,374,259,041
  5. Step 5: Solve for x
    x = 1,374,259,041/14,670
  6. Step 6: Final answer
    x = 93,678.19

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.