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Finding the Third Proportional to 32,503.50 and 44,586

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Solution

The third proportional to 32,503.50 and 44,586 is: 61,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.50 : 44,586 = 44,586 : x
  2. Step 2: Convert to fraction form
    32,503.50/44,586 = 44,586/x
  3. Step 3: Cross multiply
    32,503.50x = 44,586 × 44,586
  4. Step 4: Simplify right side
    32,503.50x = 1,987,911,396
  5. Step 5: Solve for x
    x = 1,987,911,396/32,503.50
  6. Step 6: Final answer
    x = 61,159.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.