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Finding the Third Proportional to 14,638.85 and 31,501.41

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Solution

The third proportional to 14,638.85 and 31,501.41 is: 67,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.85 : 31,501.41 = 31,501.41 : x
  2. Step 2: Convert to fraction form
    14,638.85/31,501.41 = 31,501.41/x
  3. Step 3: Cross multiply
    14,638.85x = 31,501.41 × 31,501.41
  4. Step 4: Simplify right side
    14,638.85x = 992,338,595.73
  5. Step 5: Solve for x
    x = 992,338,595.73/14,638.85
  6. Step 6: Final answer
    x = 67,788.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.