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Finding the Third Proportional to 37,548 and 59,448

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Solution

The third proportional to 37,548 and 59,448 is: 94,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548 : 59,448 = 59,448 : x
  2. Step 2: Convert to fraction form
    37,548/59,448 = 59,448/x
  3. Step 3: Cross multiply
    37,548x = 59,448 × 59,448
  4. Step 4: Simplify right side
    37,548x = 3,534,064,704
  5. Step 5: Solve for x
    x = 3,534,064,704/37,548
  6. Step 6: Final answer
    x = 94,121.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.