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Finding the Third Proportional to 37,312.88 and 57,776.63

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Solution

The third proportional to 37,312.88 and 57,776.63 is: 89,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,312.88 : 57,776.63 = 57,776.63 : x
  2. Step 2: Convert to fraction form
    37,312.88/57,776.63 = 57,776.63/x
  3. Step 3: Cross multiply
    37,312.88x = 57,776.63 × 57,776.63
  4. Step 4: Simplify right side
    37,312.88x = 3,338,138,396.39
  5. Step 5: Solve for x
    x = 3,338,138,396.39/37,312.88
  6. Step 6: Final answer
    x = 89,463.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.