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Finding the Third Proportional to 22,113 and 32,855.63

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Solution

The third proportional to 22,113 and 32,855.63 is: 48,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113 : 32,855.63 = 32,855.63 : x
  2. Step 2: Convert to fraction form
    22,113/32,855.63 = 32,855.63/x
  3. Step 3: Cross multiply
    22,113x = 32,855.63 × 32,855.63
  4. Step 4: Simplify right side
    22,113x = 1,079,492,094.14
  5. Step 5: Solve for x
    x = 1,079,492,094.14/22,113
  6. Step 6: Final answer
    x = 48,817.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.