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Finding the Third Proportional to 14,660.88 and 31,953.00

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Solution

The third proportional to 14,660.88 and 31,953.00 is: 69,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660.88 : 31,953.00 = 31,953.00 : x
  2. Step 2: Convert to fraction form
    14,660.88/31,953.00 = 31,953.00/x
  3. Step 3: Cross multiply
    14,660.88x = 31,953.00 × 31,953.00
  4. Step 4: Simplify right side
    14,660.88x = 1,020,994,021.78
  5. Step 5: Solve for x
    x = 1,020,994,021.78/14,660.88
  6. Step 6: Final answer
    x = 69,640.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.