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Finding the Third Proportional to 15,371.25 and 22,509.75

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Solution

The third proportional to 15,371.25 and 22,509.75 is: 32,963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,371.25 : 22,509.75 = 22,509.75 : x
  2. Step 2: Convert to fraction form
    15,371.25/22,509.75 = 22,509.75/x
  3. Step 3: Cross multiply
    15,371.25x = 22,509.75 × 22,509.75
  4. Step 4: Simplify right side
    15,371.25x = 506,688,845.06
  5. Step 5: Solve for x
    x = 506,688,845.06/15,371.25
  6. Step 6: Final answer
    x = 32,963.41

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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.