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Finding the Third Proportional to 37,218 and 52,053

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Solution

The third proportional to 37,218 and 52,053 is: 72,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218 : 52,053 = 52,053 : x
  2. Step 2: Convert to fraction form
    37,218/52,053 = 52,053/x
  3. Step 3: Cross multiply
    37,218x = 52,053 × 52,053
  4. Step 4: Simplify right side
    37,218x = 2,709,514,809
  5. Step 5: Solve for x
    x = 2,709,514,809/37,218
  6. Step 6: Final answer
    x = 72,801.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.