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Finding the Third Proportional to 10,925.50 and 23,705

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Solution

The third proportional to 10,925.50 and 23,705 is: 51,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.50 : 23,705 = 23,705 : x
  2. Step 2: Convert to fraction form
    10,925.50/23,705 = 23,705/x
  3. Step 3: Cross multiply
    10,925.50x = 23,705 × 23,705
  4. Step 4: Simplify right side
    10,925.50x = 561,927,025
  5. Step 5: Solve for x
    x = 561,927,025/10,925.50
  6. Step 6: Final answer
    x = 51,432.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.