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Finding the Third Proportional to 37,197.98 and 55,569.16

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Solution

The third proportional to 37,197.98 and 55,569.16 is: 83,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197.98 : 55,569.16 = 55,569.16 : x
  2. Step 2: Convert to fraction form
    37,197.98/55,569.16 = 55,569.16/x
  3. Step 3: Cross multiply
    37,197.98x = 55,569.16 × 55,569.16
  4. Step 4: Simplify right side
    37,197.98x = 3,087,931,994.61
  5. Step 5: Solve for x
    x = 3,087,931,994.61/37,197.98
  6. Step 6: Final answer
    x = 83,013.42

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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.