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Finding the Third Proportional to 10,967.50 and 24,017.50

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Solution

The third proportional to 10,967.50 and 24,017.50 is: 52,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.50 : 24,017.50 = 24,017.50 : x
  2. Step 2: Convert to fraction form
    10,967.50/24,017.50 = 24,017.50/x
  3. Step 3: Cross multiply
    10,967.50x = 24,017.50 × 24,017.50
  4. Step 4: Simplify right side
    10,967.50x = 576,840,306.25
  5. Step 5: Solve for x
    x = 576,840,306.25/10,967.50
  6. Step 6: Final answer
    x = 52,595.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.