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Finding the Third Proportional to 10,045.50 and 21,711

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Solution

The third proportional to 10,045.50 and 21,711 is: 46,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.50 : 21,711 = 21,711 : x
  2. Step 2: Convert to fraction form
    10,045.50/21,711 = 21,711/x
  3. Step 3: Cross multiply
    10,045.50x = 21,711 × 21,711
  4. Step 4: Simplify right side
    10,045.50x = 471,367,521
  5. Step 5: Solve for x
    x = 471,367,521/10,045.50
  6. Step 6: Final answer
    x = 46,923.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.