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Finding the Third Proportional to 36,312 and 58,498

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Solution

The third proportional to 36,312 and 58,498 is: 94,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,312 : 58,498 = 58,498 : x
  2. Step 2: Convert to fraction form
    36,312/58,498 = 58,498/x
  3. Step 3: Cross multiply
    36,312x = 58,498 × 58,498
  4. Step 4: Simplify right side
    36,312x = 3,422,016,004
  5. Step 5: Solve for x
    x = 3,422,016,004/36,312
  6. Step 6: Final answer
    x = 94,239.26

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.