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Finding the Third Proportional to 44,570.25 and 65,002.50

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Solution

The third proportional to 44,570.25 and 65,002.50 is: 94,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,570.25 : 65,002.50 = 65,002.50 : x
  2. Step 2: Convert to fraction form
    44,570.25/65,002.50 = 65,002.50/x
  3. Step 3: Cross multiply
    44,570.25x = 65,002.50 × 65,002.50
  4. Step 4: Simplify right side
    44,570.25x = 4,225,325,006.25
  5. Step 5: Solve for x
    x = 4,225,325,006.25/44,570.25
  6. Step 6: Final answer
    x = 94,801.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.