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Finding the Third Proportional to 26,535 and 41,416.50

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Solution

The third proportional to 26,535 and 41,416.50 is: 64,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,535 : 41,416.50 = 41,416.50 : x
  2. Step 2: Convert to fraction form
    26,535/41,416.50 = 41,416.50/x
  3. Step 3: Cross multiply
    26,535x = 41,416.50 × 41,416.50
  4. Step 4: Simplify right side
    26,535x = 1,715,326,472.25
  5. Step 5: Solve for x
    x = 1,715,326,472.25/26,535
  6. Step 6: Final answer
    x = 64,643.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.