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Finding the Third Proportional to 19,999.13 and 29,269.13

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Solution

The third proportional to 19,999.13 and 29,269.13 is: 42,835.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,999.13 : 29,269.13 = 29,269.13 : x
  2. Step 2: Convert to fraction form
    19,999.13/29,269.13 = 29,269.13/x
  3. Step 3: Cross multiply
    19,999.13x = 29,269.13 × 29,269.13
  4. Step 4: Simplify right side
    19,999.13x = 856,681,678.27
  5. Step 5: Solve for x
    x = 856,681,678.27/19,999.13
  6. Step 6: Final answer
    x = 42,835.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.