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Finding the Third Proportional to 12,630 and 19,814.25

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Solution

The third proportional to 12,630 and 19,814.25 is: 31,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,630 : 19,814.25 = 19,814.25 : x
  2. Step 2: Convert to fraction form
    12,630/19,814.25 = 19,814.25/x
  3. Step 3: Cross multiply
    12,630x = 19,814.25 × 19,814.25
  4. Step 4: Simplify right side
    12,630x = 392,604,503.06
  5. Step 5: Solve for x
    x = 392,604,503.06/12,630
  6. Step 6: Final answer
    x = 31,085.08

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.