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Finding the Third Proportional to 10,515 and 24,343.50

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Solution

The third proportional to 10,515 and 24,343.50 is: 56,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515 : 24,343.50 = 24,343.50 : x
  2. Step 2: Convert to fraction form
    10,515/24,343.50 = 24,343.50/x
  3. Step 3: Cross multiply
    10,515x = 24,343.50 × 24,343.50
  4. Step 4: Simplify right side
    10,515x = 592,605,992.25
  5. Step 5: Solve for x
    x = 592,605,992.25/10,515
  6. Step 6: Final answer
    x = 56,358.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.