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Finding the Third Proportional to 16,133 and 24,026.50

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Solution

The third proportional to 16,133 and 24,026.50 is: 35,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133 : 24,026.50 = 24,026.50 : x
  2. Step 2: Convert to fraction form
    16,133/24,026.50 = 24,026.50/x
  3. Step 3: Cross multiply
    16,133x = 24,026.50 × 24,026.50
  4. Step 4: Simplify right side
    16,133x = 577,272,702.25
  5. Step 5: Solve for x
    x = 577,272,702.25/16,133
  6. Step 6: Final answer
    x = 35,782.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.