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Finding the Third Proportional to 8,475.75 and 14,953.50

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Solution

The third proportional to 8,475.75 and 14,953.50 is: 26,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.75 : 14,953.50 = 14,953.50 : x
  2. Step 2: Convert to fraction form
    8,475.75/14,953.50 = 14,953.50/x
  3. Step 3: Cross multiply
    8,475.75x = 14,953.50 × 14,953.50
  4. Step 4: Simplify right side
    8,475.75x = 223,607,162.25
  5. Step 5: Solve for x
    x = 223,607,162.25/8,475.75
  6. Step 6: Final answer
    x = 26,381.99

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.