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Finding the Third Proportional to 10,595.25 and 16,773.75

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Solution

The third proportional to 10,595.25 and 16,773.75 is: 26,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.25 : 16,773.75 = 16,773.75 : x
  2. Step 2: Convert to fraction form
    10,595.25/16,773.75 = 16,773.75/x
  3. Step 3: Cross multiply
    10,595.25x = 16,773.75 × 16,773.75
  4. Step 4: Simplify right side
    10,595.25x = 281,358,689.06
  5. Step 5: Solve for x
    x = 281,358,689.06/10,595.25
  6. Step 6: Final answer
    x = 26,555.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.