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Finding the Third Proportional to 10,557 and 14,170.50

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Solution

The third proportional to 10,557 and 14,170.50 is: 19,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557 : 14,170.50 = 14,170.50 : x
  2. Step 2: Convert to fraction form
    10,557/14,170.50 = 14,170.50/x
  3. Step 3: Cross multiply
    10,557x = 14,170.50 × 14,170.50
  4. Step 4: Simplify right side
    10,557x = 200,803,070.25
  5. Step 5: Solve for x
    x = 200,803,070.25/10,557
  6. Step 6: Final answer
    x = 19,020.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.