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Finding the Third Proportional to 35,309 and 55,047

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Solution

The third proportional to 35,309 and 55,047 is: 85,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309 : 55,047 = 55,047 : x
  2. Step 2: Convert to fraction form
    35,309/55,047 = 55,047/x
  3. Step 3: Cross multiply
    35,309x = 55,047 × 55,047
  4. Step 4: Simplify right side
    35,309x = 3,030,172,209
  5. Step 5: Solve for x
    x = 3,030,172,209/35,309
  6. Step 6: Final answer
    x = 85,818.69

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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.