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Finding the Third Proportional to 19,045.13 and 20,746.13

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Solution

The third proportional to 19,045.13 and 20,746.13 is: 22,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,045.13 : 20,746.13 = 20,746.13 : x
  2. Step 2: Convert to fraction form
    19,045.13/20,746.13 = 20,746.13/x
  3. Step 3: Cross multiply
    19,045.13x = 20,746.13 × 20,746.13
  4. Step 4: Simplify right side
    19,045.13x = 430,401,702.52
  5. Step 5: Solve for x
    x = 430,401,702.52/19,045.13
  6. Step 6: Final answer
    x = 22,599.05

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.