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Finding the Third Proportional to 10,017.56 and 21,425.06

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Solution

The third proportional to 10,017.56 and 21,425.06 is: 45,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.56 : 21,425.06 = 21,425.06 : x
  2. Step 2: Convert to fraction form
    10,017.56/21,425.06 = 21,425.06/x
  3. Step 3: Cross multiply
    10,017.56x = 21,425.06 × 21,425.06
  4. Step 4: Simplify right side
    10,017.56x = 459,033,303.13
  5. Step 5: Solve for x
    x = 459,033,303.13/10,017.56
  6. Step 6: Final answer
    x = 45,822.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.