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Finding the Third Proportional to 14,455.50 and 31,231.50

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Solution

The third proportional to 14,455.50 and 31,231.50 is: 67,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.50 : 31,231.50 = 31,231.50 : x
  2. Step 2: Convert to fraction form
    14,455.50/31,231.50 = 31,231.50/x
  3. Step 3: Cross multiply
    14,455.50x = 31,231.50 × 31,231.50
  4. Step 4: Simplify right side
    14,455.50x = 975,406,592.25
  5. Step 5: Solve for x
    x = 975,406,592.25/14,455.50
  6. Step 6: Final answer
    x = 67,476.50

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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.