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Finding the Third Proportional to 10,072.16 and 21,528.28

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Solution

The third proportional to 10,072.16 and 21,528.28 is: 46,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.16 : 21,528.28 = 21,528.28 : x
  2. Step 2: Convert to fraction form
    10,072.16/21,528.28 = 21,528.28/x
  3. Step 3: Cross multiply
    10,072.16x = 21,528.28 × 21,528.28
  4. Step 4: Simplify right side
    10,072.16x = 463,466,893.58
  5. Step 5: Solve for x
    x = 463,466,893.58/10,072.16
  6. Step 6: Final answer
    x = 46,014.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.