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Finding the Third Proportional to 14,456.25 and 22,376.25

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Solution

The third proportional to 14,456.25 and 22,376.25 is: 34,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.25 : 22,376.25 = 22,376.25 : x
  2. Step 2: Convert to fraction form
    14,456.25/22,376.25 = 22,376.25/x
  3. Step 3: Cross multiply
    14,456.25x = 22,376.25 × 22,376.25
  4. Step 4: Simplify right side
    14,456.25x = 500,696,564.06
  5. Step 5: Solve for x
    x = 500,696,564.06/14,456.25
  6. Step 6: Final answer
    x = 34,635.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.