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Finding the Third Proportional to 16,953 and 26,461.50

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Solution

The third proportional to 16,953 and 26,461.50 is: 41,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953 : 26,461.50 = 26,461.50 : x
  2. Step 2: Convert to fraction form
    16,953/26,461.50 = 26,461.50/x
  3. Step 3: Cross multiply
    16,953x = 26,461.50 × 26,461.50
  4. Step 4: Simplify right side
    16,953x = 700,210,982.25
  5. Step 5: Solve for x
    x = 700,210,982.25/16,953
  6. Step 6: Final answer
    x = 41,303.07

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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.