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Finding the Third Proportional to 23,790.75 and 35,547.75

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Solution

The third proportional to 23,790.75 and 35,547.75 is: 53,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,790.75 : 35,547.75 = 35,547.75 : x
  2. Step 2: Convert to fraction form
    23,790.75/35,547.75 = 35,547.75/x
  3. Step 3: Cross multiply
    23,790.75x = 35,547.75 × 35,547.75
  4. Step 4: Simplify right side
    23,790.75x = 1,263,642,530.06
  5. Step 5: Solve for x
    x = 1,263,642,530.06/23,790.75
  6. Step 6: Final answer
    x = 53,114.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.