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Finding the Third Proportional to 26,206.50 and 37,046

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Solution

The third proportional to 26,206.50 and 37,046 is: 52,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,206.50 : 37,046 = 37,046 : x
  2. Step 2: Convert to fraction form
    26,206.50/37,046 = 37,046/x
  3. Step 3: Cross multiply
    26,206.50x = 37,046 × 37,046
  4. Step 4: Simplify right side
    26,206.50x = 1,372,406,116
  5. Step 5: Solve for x
    x = 1,372,406,116/26,206.50
  6. Step 6: Final answer
    x = 52,368.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.