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Finding the Third Proportional to 21,030.50 and 45,980

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Solution

The third proportional to 21,030.50 and 45,980 is: 100,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030.50 : 45,980 = 45,980 : x
  2. Step 2: Convert to fraction form
    21,030.50/45,980 = 45,980/x
  3. Step 3: Cross multiply
    21,030.50x = 45,980 × 45,980
  4. Step 4: Simplify right side
    21,030.50x = 2,114,160,400
  5. Step 5: Solve for x
    x = 2,114,160,400/21,030.50
  6. Step 6: Final answer
    x = 100,528.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.