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Finding the Third Proportional to 15,148.50 and 31,953

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Solution

The third proportional to 15,148.50 and 31,953 is: 67,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.50 : 31,953 = 31,953 : x
  2. Step 2: Convert to fraction form
    15,148.50/31,953 = 31,953/x
  3. Step 3: Cross multiply
    15,148.50x = 31,953 × 31,953
  4. Step 4: Simplify right side
    15,148.50x = 1,020,994,209
  5. Step 5: Solve for x
    x = 1,020,994,209/15,148.50
  6. Step 6: Final answer
    x = 67,399.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.