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Finding the Third Proportional to 15,741.75 and 24,569.63

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Solution

The third proportional to 15,741.75 and 24,569.63 is: 38,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.75 : 24,569.63 = 24,569.63 : x
  2. Step 2: Convert to fraction form
    15,741.75/24,569.63 = 24,569.63/x
  3. Step 3: Cross multiply
    15,741.75x = 24,569.63 × 24,569.63
  4. Step 4: Simplify right side
    15,741.75x = 603,666,472.64
  5. Step 5: Solve for x
    x = 603,666,472.64/15,741.75
  6. Step 6: Final answer
    x = 38,348.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.