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Finding the Third Proportional to 29,720 and 44,088.50

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Solution

The third proportional to 29,720 and 44,088.50 is: 65,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,720 : 44,088.50 = 44,088.50 : x
  2. Step 2: Convert to fraction form
    29,720/44,088.50 = 44,088.50/x
  3. Step 3: Cross multiply
    29,720x = 44,088.50 × 44,088.50
  4. Step 4: Simplify right side
    29,720x = 1,943,795,832.25
  5. Step 5: Solve for x
    x = 1,943,795,832.25/29,720
  6. Step 6: Final answer
    x = 65,403.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.