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Finding the Third Proportional to 21,070.13 and 31,595.06

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Solution

The third proportional to 21,070.13 and 31,595.06 is: 47,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070.13 : 31,595.06 = 31,595.06 : x
  2. Step 2: Convert to fraction form
    21,070.13/31,595.06 = 31,595.06/x
  3. Step 3: Cross multiply
    21,070.13x = 31,595.06 × 31,595.06
  4. Step 4: Simplify right side
    21,070.13x = 998,247,974.38
  5. Step 5: Solve for x
    x = 998,247,974.38/21,070.13
  6. Step 6: Final answer
    x = 47,377.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.