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Finding the Third Proportional to 15,703 and 24,283.50

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Solution

The third proportional to 15,703 and 24,283.50 is: 37,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703 : 24,283.50 = 24,283.50 : x
  2. Step 2: Convert to fraction form
    15,703/24,283.50 = 24,283.50/x
  3. Step 3: Cross multiply
    15,703x = 24,283.50 × 24,283.50
  4. Step 4: Simplify right side
    15,703x = 589,688,372.25
  5. Step 5: Solve for x
    x = 589,688,372.25/15,703
  6. Step 6: Final answer
    x = 37,552.59

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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.