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Finding the Third Proportional to 10,061.63 and 21,851.88

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Solution

The third proportional to 10,061.63 and 21,851.88 is: 47,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.63 : 21,851.88 = 21,851.88 : x
  2. Step 2: Convert to fraction form
    10,061.63/21,851.88 = 21,851.88/x
  3. Step 3: Cross multiply
    10,061.63x = 21,851.88 × 21,851.88
  4. Step 4: Simplify right side
    10,061.63x = 477,504,441.02
  5. Step 5: Solve for x
    x = 477,504,441.02/10,061.63
  6. Step 6: Final answer
    x = 47,457.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.