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Finding the Third Proportional to 22,008 and 42,913.50

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Solution

The third proportional to 22,008 and 42,913.50 is: 83,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,008 : 42,913.50 = 42,913.50 : x
  2. Step 2: Convert to fraction form
    22,008/42,913.50 = 42,913.50/x
  3. Step 3: Cross multiply
    22,008x = 42,913.50 × 42,913.50
  4. Step 4: Simplify right side
    22,008x = 1,841,568,482.25
  5. Step 5: Solve for x
    x = 1,841,568,482.25/22,008
  6. Step 6: Final answer
    x = 83,677.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.