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Finding the Third Proportional to 9,402 and 21,031.50

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Solution

The third proportional to 9,402 and 21,031.50 is: 47,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402 : 21,031.50 = 21,031.50 : x
  2. Step 2: Convert to fraction form
    9,402/21,031.50 = 21,031.50/x
  3. Step 3: Cross multiply
    9,402x = 21,031.50 × 21,031.50
  4. Step 4: Simplify right side
    9,402x = 442,323,992.25
  5. Step 5: Solve for x
    x = 442,323,992.25/9,402
  6. Step 6: Final answer
    x = 47,045.73

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.