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Finding the Third Proportional to 19,095.75 and 31,407.75

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Solution

The third proportional to 19,095.75 and 31,407.75 is: 51,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,095.75 : 31,407.75 = 31,407.75 : x
  2. Step 2: Convert to fraction form
    19,095.75/31,407.75 = 31,407.75/x
  3. Step 3: Cross multiply
    19,095.75x = 31,407.75 × 31,407.75
  4. Step 4: Simplify right side
    19,095.75x = 986,446,760.06
  5. Step 5: Solve for x
    x = 986,446,760.06/19,095.75
  6. Step 6: Final answer
    x = 51,657.92

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.