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Finding the Third Proportional to 10,060.50 and 21,420.38

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Solution

The third proportional to 10,060.50 and 21,420.38 is: 45,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.50 : 21,420.38 = 21,420.38 : x
  2. Step 2: Convert to fraction form
    10,060.50/21,420.38 = 21,420.38/x
  3. Step 3: Cross multiply
    10,060.50x = 21,420.38 × 21,420.38
  4. Step 4: Simplify right side
    10,060.50x = 458,832,465.14
  5. Step 5: Solve for x
    x = 458,832,465.14/10,060.50
  6. Step 6: Final answer
    x = 45,607.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.