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Finding the Third Proportional to 10,036.41 and 21,860.72

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Solution

The third proportional to 10,036.41 and 21,860.72 is: 47,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.41 : 21,860.72 = 21,860.72 : x
  2. Step 2: Convert to fraction form
    10,036.41/21,860.72 = 21,860.72/x
  3. Step 3: Cross multiply
    10,036.41x = 21,860.72 × 21,860.72
  4. Step 4: Simplify right side
    10,036.41x = 477,891,024.27
  5. Step 5: Solve for x
    x = 477,891,024.27/10,036.41
  6. Step 6: Final answer
    x = 47,615.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.