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Finding the Third Proportional to 22,509 and 36,257.63

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Solution

The third proportional to 22,509 and 36,257.63 is: 58,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509 : 36,257.63 = 36,257.63 : x
  2. Step 2: Convert to fraction form
    22,509/36,257.63 = 36,257.63/x
  3. Step 3: Cross multiply
    22,509x = 36,257.63 × 36,257.63
  4. Step 4: Simplify right side
    22,509x = 1,314,615,370.64
  5. Step 5: Solve for x
    x = 1,314,615,370.64/22,509
  6. Step 6: Final answer
    x = 58,403.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.