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Finding the Third Proportional to 15,592.50 and 24,786

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Solution

The third proportional to 15,592.50 and 24,786 is: 39,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,592.50 : 24,786 = 24,786 : x
  2. Step 2: Convert to fraction form
    15,592.50/24,786 = 24,786/x
  3. Step 3: Cross multiply
    15,592.50x = 24,786 × 24,786
  4. Step 4: Simplify right side
    15,592.50x = 614,345,796
  5. Step 5: Solve for x
    x = 614,345,796/15,592.50
  6. Step 6: Final answer
    x = 39,400.08

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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.