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Finding the Third Proportional to 16,301.25 and 29,139.75

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Solution

The third proportional to 16,301.25 and 29,139.75 is: 52,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.25 : 29,139.75 = 29,139.75 : x
  2. Step 2: Convert to fraction form
    16,301.25/29,139.75 = 29,139.75/x
  3. Step 3: Cross multiply
    16,301.25x = 29,139.75 × 29,139.75
  4. Step 4: Simplify right side
    16,301.25x = 849,125,030.06
  5. Step 5: Solve for x
    x = 849,125,030.06/16,301.25
  6. Step 6: Final answer
    x = 52,089.57

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.