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Finding the Third Proportional to 34,578 and 53,402.63

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Solution

The third proportional to 34,578 and 53,402.63 is: 82,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,578 : 53,402.63 = 53,402.63 : x
  2. Step 2: Convert to fraction form
    34,578/53,402.63 = 53,402.63/x
  3. Step 3: Cross multiply
    34,578x = 53,402.63 × 53,402.63
  4. Step 4: Simplify right side
    34,578x = 2,851,840,356.89
  5. Step 5: Solve for x
    x = 2,851,840,356.89/34,578
  6. Step 6: Final answer
    x = 82,475.57

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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.