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Finding the Third Proportional to 10,281.66 and 22,325.06

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Solution

The third proportional to 10,281.66 and 22,325.06 is: 48,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.66 : 22,325.06 = 22,325.06 : x
  2. Step 2: Convert to fraction form
    10,281.66/22,325.06 = 22,325.06/x
  3. Step 3: Cross multiply
    10,281.66x = 22,325.06 × 22,325.06
  4. Step 4: Simplify right side
    10,281.66x = 498,408,415.63
  5. Step 5: Solve for x
    x = 498,408,415.63/10,281.66
  6. Step 6: Final answer
    x = 48,475.50

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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.