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Finding the Third Proportional to 22,089 and 46,041.75

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Solution

The third proportional to 22,089 and 46,041.75 is: 95,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,089 : 46,041.75 = 46,041.75 : x
  2. Step 2: Convert to fraction form
    22,089/46,041.75 = 46,041.75/x
  3. Step 3: Cross multiply
    22,089x = 46,041.75 × 46,041.75
  4. Step 4: Simplify right side
    22,089x = 2,119,842,743.06
  5. Step 5: Solve for x
    x = 2,119,842,743.06/22,089
  6. Step 6: Final answer
    x = 95,968.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.