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Finding the Third Proportional to 35,148 and 56,215

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Solution

The third proportional to 35,148 and 56,215 is: 89,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,148 : 56,215 = 56,215 : x
  2. Step 2: Convert to fraction form
    35,148/56,215 = 56,215/x
  3. Step 3: Cross multiply
    35,148x = 56,215 × 56,215
  4. Step 4: Simplify right side
    35,148x = 3,160,126,225
  5. Step 5: Solve for x
    x = 3,160,126,225/35,148
  6. Step 6: Final answer
    x = 89,909.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.