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Finding the Third Proportional to 10,870.88 and 23,815.69

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Solution

The third proportional to 10,870.88 and 23,815.69 is: 52,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.88 : 23,815.69 = 23,815.69 : x
  2. Step 2: Convert to fraction form
    10,870.88/23,815.69 = 23,815.69/x
  3. Step 3: Cross multiply
    10,870.88x = 23,815.69 × 23,815.69
  4. Step 4: Simplify right side
    10,870.88x = 567,186,971.10
  5. Step 5: Solve for x
    x = 567,186,971.10/10,870.88
  6. Step 6: Final answer
    x = 52,174.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.