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Finding the Third Proportional to 10,428.75 and 22,376.25

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Solution

The third proportional to 10,428.75 and 22,376.25 is: 48,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.75 : 22,376.25 = 22,376.25 : x
  2. Step 2: Convert to fraction form
    10,428.75/22,376.25 = 22,376.25/x
  3. Step 3: Cross multiply
    10,428.75x = 22,376.25 × 22,376.25
  4. Step 4: Simplify right side
    10,428.75x = 500,696,564.06
  5. Step 5: Solve for x
    x = 500,696,564.06/10,428.75
  6. Step 6: Final answer
    x = 48,011.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.