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Finding the Third Proportional to 21,522 and 35,565.75

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Solution

The third proportional to 21,522 and 35,565.75 is: 58,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522 : 35,565.75 = 35,565.75 : x
  2. Step 2: Convert to fraction form
    21,522/35,565.75 = 35,565.75/x
  3. Step 3: Cross multiply
    21,522x = 35,565.75 × 35,565.75
  4. Step 4: Simplify right side
    21,522x = 1,264,922,573.06
  5. Step 5: Solve for x
    x = 1,264,922,573.06/21,522
  6. Step 6: Final answer
    x = 58,773.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.