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Finding the Third Proportional to 16,965.56 and 26,417.81

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Solution

The third proportional to 16,965.56 and 26,417.81 is: 41,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.56 : 26,417.81 = 26,417.81 : x
  2. Step 2: Convert to fraction form
    16,965.56/26,417.81 = 26,417.81/x
  3. Step 3: Cross multiply
    16,965.56x = 26,417.81 × 26,417.81
  4. Step 4: Simplify right side
    16,965.56x = 697,900,817.29
  5. Step 5: Solve for x
    x = 697,900,817.29/16,965.56
  6. Step 6: Final answer
    x = 41,136.32

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1.5x scale

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.