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Finding the Third Proportional to 15,693.75 and 22,986.28

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Solution

The third proportional to 15,693.75 and 22,986.28 is: 33,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.75 : 22,986.28 = 22,986.28 : x
  2. Step 2: Convert to fraction form
    15,693.75/22,986.28 = 22,986.28/x
  3. Step 3: Cross multiply
    15,693.75x = 22,986.28 × 22,986.28
  4. Step 4: Simplify right side
    15,693.75x = 528,369,125.70
  5. Step 5: Solve for x
    x = 528,369,125.70/15,693.75
  6. Step 6: Final answer
    x = 33,667.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.