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Finding the Third Proportional to 28,402.50 and 58,653

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Solution

The third proportional to 28,402.50 and 58,653 is: 121,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,402.50 : 58,653 = 58,653 : x
  2. Step 2: Convert to fraction form
    28,402.50/58,653 = 58,653/x
  3. Step 3: Cross multiply
    28,402.50x = 58,653 × 58,653
  4. Step 4: Simplify right side
    28,402.50x = 3,440,174,409
  5. Step 5: Solve for x
    x = 3,440,174,409/28,402.50
  6. Step 6: Final answer
    x = 121,122.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.