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Finding the Third Proportional to 29,417.50 and 44,896

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Solution

The third proportional to 29,417.50 and 44,896 is: 68,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,417.50 : 44,896 = 44,896 : x
  2. Step 2: Convert to fraction form
    29,417.50/44,896 = 44,896/x
  3. Step 3: Cross multiply
    29,417.50x = 44,896 × 44,896
  4. Step 4: Simplify right side
    29,417.50x = 2,015,650,816
  5. Step 5: Solve for x
    x = 2,015,650,816/29,417.50
  6. Step 6: Final answer
    x = 68,518.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.