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Finding the Third Proportional to 15,705 and 20,641.50

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Solution

The third proportional to 15,705 and 20,641.50 is: 27,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705 : 20,641.50 = 20,641.50 : x
  2. Step 2: Convert to fraction form
    15,705/20,641.50 = 20,641.50/x
  3. Step 3: Cross multiply
    15,705x = 20,641.50 × 20,641.50
  4. Step 4: Simplify right side
    15,705x = 426,071,522.25
  5. Step 5: Solve for x
    x = 426,071,522.25/15,705
  6. Step 6: Final answer
    x = 27,129.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.