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Finding the Third Proportional to 23,341.50 and 35,877

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Solution

The third proportional to 23,341.50 and 35,877 is: 55,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,341.50 : 35,877 = 35,877 : x
  2. Step 2: Convert to fraction form
    23,341.50/35,877 = 35,877/x
  3. Step 3: Cross multiply
    23,341.50x = 35,877 × 35,877
  4. Step 4: Simplify right side
    23,341.50x = 1,287,159,129
  5. Step 5: Solve for x
    x = 1,287,159,129/23,341.50
  6. Step 6: Final answer
    x = 55,144.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.