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Finding the Third Proportional to 14,577 and 31,458

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Solution

The third proportional to 14,577 and 31,458 is: 67,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577 : 31,458 = 31,458 : x
  2. Step 2: Convert to fraction form
    14,577/31,458 = 31,458/x
  3. Step 3: Cross multiply
    14,577x = 31,458 × 31,458
  4. Step 4: Simplify right side
    14,577x = 989,605,764
  5. Step 5: Solve for x
    x = 989,605,764/14,577
  6. Step 6: Final answer
    x = 67,888.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.