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Finding the Third Proportional to 14,248.50 and 32,985

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Solution

The third proportional to 14,248.50 and 32,985 is: 76,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,248.50 : 32,985 = 32,985 : x
  2. Step 2: Convert to fraction form
    14,248.50/32,985 = 32,985/x
  3. Step 3: Cross multiply
    14,248.50x = 32,985 × 32,985
  4. Step 4: Simplify right side
    14,248.50x = 1,088,010,225
  5. Step 5: Solve for x
    x = 1,088,010,225/14,248.50
  6. Step 6: Final answer
    x = 76,359.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.