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Finding the Third Proportional to 15,988.50 and 24,206.06

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Solution

The third proportional to 15,988.50 and 24,206.06 is: 36,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,988.50 : 24,206.06 = 24,206.06 : x
  2. Step 2: Convert to fraction form
    15,988.50/24,206.06 = 24,206.06/x
  3. Step 3: Cross multiply
    15,988.50x = 24,206.06 × 24,206.06
  4. Step 4: Simplify right side
    15,988.50x = 585,933,461.75
  5. Step 5: Solve for x
    x = 585,933,461.75/15,988.50
  6. Step 6: Final answer
    x = 36,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.