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Finding the Third Proportional to 10,297.13 and 21,038.48

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Solution

The third proportional to 10,297.13 and 21,038.48 is: 42,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 21,038.48 = 21,038.48 : x
  2. Step 2: Convert to fraction form
    10,297.13/21,038.48 = 21,038.48/x
  3. Step 3: Cross multiply
    10,297.13x = 21,038.48 × 21,038.48
  4. Step 4: Simplify right side
    10,297.13x = 442,617,824.80
  5. Step 5: Solve for x
    x = 442,617,824.80/10,297.13
  6. Step 6: Final answer
    x = 42,984.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.