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Finding the Third Proportional to 14,776 and 31,102

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Solution

The third proportional to 14,776 and 31,102 is: 65,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776 : 31,102 = 31,102 : x
  2. Step 2: Convert to fraction form
    14,776/31,102 = 31,102/x
  3. Step 3: Cross multiply
    14,776x = 31,102 × 31,102
  4. Step 4: Simplify right side
    14,776x = 967,334,404
  5. Step 5: Solve for x
    x = 967,334,404/14,776
  6. Step 6: Final answer
    x = 65,466.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.