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Finding the Third Proportional to 26,953.50 and 63,435

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Solution

The third proportional to 26,953.50 and 63,435 is: 149,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953.50 : 63,435 = 63,435 : x
  2. Step 2: Convert to fraction form
    26,953.50/63,435 = 63,435/x
  3. Step 3: Cross multiply
    26,953.50x = 63,435 × 63,435
  4. Step 4: Simplify right side
    26,953.50x = 4,023,999,225
  5. Step 5: Solve for x
    x = 4,023,999,225/26,953.50
  6. Step 6: Final answer
    x = 149,294.13

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.