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Finding the Third Proportional to 44,509.50 and 59,454

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Solution

The third proportional to 44,509.50 and 59,454 is: 79,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,509.50 : 59,454 = 59,454 : x
  2. Step 2: Convert to fraction form
    44,509.50/59,454 = 59,454/x
  3. Step 3: Cross multiply
    44,509.50x = 59,454 × 59,454
  4. Step 4: Simplify right side
    44,509.50x = 3,534,778,116
  5. Step 5: Solve for x
    x = 3,534,778,116/44,509.50
  6. Step 6: Final answer
    x = 79,416.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.