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Finding the Third Proportional to 10,348.03 and 22,496.34

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Solution

The third proportional to 10,348.03 and 22,496.34 is: 48,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.03 : 22,496.34 = 22,496.34 : x
  2. Step 2: Convert to fraction form
    10,348.03/22,496.34 = 22,496.34/x
  3. Step 3: Cross multiply
    10,348.03x = 22,496.34 × 22,496.34
  4. Step 4: Simplify right side
    10,348.03x = 506,085,482.12
  5. Step 5: Solve for x
    x = 506,085,482.12/10,348.03
  6. Step 6: Final answer
    x = 48,906.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.