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Finding the Third Proportional to 19,557 and 29,713.50

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Solution

The third proportional to 19,557 and 29,713.50 is: 45,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,557 : 29,713.50 = 29,713.50 : x
  2. Step 2: Convert to fraction form
    19,557/29,713.50 = 29,713.50/x
  3. Step 3: Cross multiply
    19,557x = 29,713.50 × 29,713.50
  4. Step 4: Simplify right side
    19,557x = 882,892,082.25
  5. Step 5: Solve for x
    x = 882,892,082.25/19,557
  6. Step 6: Final answer
    x = 45,144.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.