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Finding the Third Proportional to 21,542.50 and 45,047

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Solution

The third proportional to 21,542.50 and 45,047 is: 94,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.50 : 45,047 = 45,047 : x
  2. Step 2: Convert to fraction form
    21,542.50/45,047 = 45,047/x
  3. Step 3: Cross multiply
    21,542.50x = 45,047 × 45,047
  4. Step 4: Simplify right side
    21,542.50x = 2,029,232,209
  5. Step 5: Solve for x
    x = 2,029,232,209/21,542.50
  6. Step 6: Final answer
    x = 94,196.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.