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Finding the Third Proportional to 35,953.50 and 53,931

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Solution

The third proportional to 35,953.50 and 53,931 is: 80,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953.50 : 53,931 = 53,931 : x
  2. Step 2: Convert to fraction form
    35,953.50/53,931 = 53,931/x
  3. Step 3: Cross multiply
    35,953.50x = 53,931 × 53,931
  4. Step 4: Simplify right side
    35,953.50x = 2,908,552,761
  5. Step 5: Solve for x
    x = 2,908,552,761/35,953.50
  6. Step 6: Final answer
    x = 80,897.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.