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Finding the Third Proportional to 35,762 and 53,454

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Solution

The third proportional to 35,762 and 53,454 is: 79,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762 : 53,454 = 53,454 : x
  2. Step 2: Convert to fraction form
    35,762/53,454 = 53,454/x
  3. Step 3: Cross multiply
    35,762x = 53,454 × 53,454
  4. Step 4: Simplify right side
    35,762x = 2,857,330,116
  5. Step 5: Solve for x
    x = 2,857,330,116/35,762
  6. Step 6: Final answer
    x = 79,898.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.