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Finding the Third Proportional to 15,565.29 and 24,703.42

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Solution

The third proportional to 15,565.29 and 24,703.42 is: 39,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.29 : 24,703.42 = 24,703.42 : x
  2. Step 2: Convert to fraction form
    15,565.29/24,703.42 = 24,703.42/x
  3. Step 3: Cross multiply
    15,565.29x = 24,703.42 × 24,703.42
  4. Step 4: Simplify right side
    15,565.29x = 610,258,859.34
  5. Step 5: Solve for x
    x = 610,258,859.34/15,565.29
  6. Step 6: Final answer
    x = 39,206.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.