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Finding the Third Proportional to 44,008.50 and 95,032.13

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Solution

The third proportional to 44,008.50 and 95,032.13 is: 205,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,008.50 : 95,032.13 = 95,032.13 : x
  2. Step 2: Convert to fraction form
    44,008.50/95,032.13 = 95,032.13/x
  3. Step 3: Cross multiply
    44,008.50x = 95,032.13 × 95,032.13
  4. Step 4: Simplify right side
    44,008.50x = 9,031,104,782.02
  5. Step 5: Solve for x
    x = 9,031,104,782.02/44,008.50
  6. Step 6: Final answer
    x = 205,212.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.