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Finding the Third Proportional to 14,618 and 31,998

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Solution

The third proportional to 14,618 and 31,998 is: 70,041.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,618 : 31,998 = 31,998 : x
  2. Step 2: Convert to fraction form
    14,618/31,998 = 31,998/x
  3. Step 3: Cross multiply
    14,618x = 31,998 × 31,998
  4. Step 4: Simplify right side
    14,618x = 1,023,872,004
  5. Step 5: Solve for x
    x = 1,023,872,004/14,618
  6. Step 6: Final answer
    x = 70,041.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.