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Finding the Third Proportional to 34,601.50 and 45,434

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Solution

The third proportional to 34,601.50 and 45,434 is: 59,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,601.50 : 45,434 = 45,434 : x
  2. Step 2: Convert to fraction form
    34,601.50/45,434 = 45,434/x
  3. Step 3: Cross multiply
    34,601.50x = 45,434 × 45,434
  4. Step 4: Simplify right side
    34,601.50x = 2,064,248,356
  5. Step 5: Solve for x
    x = 2,064,248,356/34,601.50
  6. Step 6: Final answer
    x = 59,657.77

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.