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Finding the Third Proportional to 23,815.13 and 35,010

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Solution

The third proportional to 23,815.13 and 35,010 is: 51,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.13 : 35,010 = 35,010 : x
  2. Step 2: Convert to fraction form
    23,815.13/35,010 = 35,010/x
  3. Step 3: Cross multiply
    23,815.13x = 35,010 × 35,010
  4. Step 4: Simplify right side
    23,815.13x = 1,225,700,100
  5. Step 5: Solve for x
    x = 1,225,700,100/23,815.13
  6. Step 6: Final answer
    x = 51,467.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.