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Finding the Third Proportional to 15,461.50 and 24,000.50

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Solution

The third proportional to 15,461.50 and 24,000.50 is: 37,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.50 : 24,000.50 = 24,000.50 : x
  2. Step 2: Convert to fraction form
    15,461.50/24,000.50 = 24,000.50/x
  3. Step 3: Cross multiply
    15,461.50x = 24,000.50 × 24,000.50
  4. Step 4: Simplify right side
    15,461.50x = 576,024,000.25
  5. Step 5: Solve for x
    x = 576,024,000.25/15,461.50
  6. Step 6: Final answer
    x = 37,255.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.