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Finding the Third Proportional to 15,430.50 and 24,525

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Solution

The third proportional to 15,430.50 and 24,525 is: 38,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.50 : 24,525 = 24,525 : x
  2. Step 2: Convert to fraction form
    15,430.50/24,525 = 24,525/x
  3. Step 3: Cross multiply
    15,430.50x = 24,525 × 24,525
  4. Step 4: Simplify right side
    15,430.50x = 601,475,625
  5. Step 5: Solve for x
    x = 601,475,625/15,430.50
  6. Step 6: Final answer
    x = 38,979.66

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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.