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Finding the Third Proportional to 35,826 and 53,475

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Solution

The third proportional to 35,826 and 53,475 is: 79,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,826 : 53,475 = 53,475 : x
  2. Step 2: Convert to fraction form
    35,826/53,475 = 53,475/x
  3. Step 3: Cross multiply
    35,826x = 53,475 × 53,475
  4. Step 4: Simplify right side
    35,826x = 2,859,575,625
  5. Step 5: Solve for x
    x = 2,859,575,625/35,826
  6. Step 6: Final answer
    x = 79,818.45

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