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Finding the Third Proportional to 10,135.13 and 19,779.19

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Solution

The third proportional to 10,135.13 and 19,779.19 is: 38,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.13 : 19,779.19 = 19,779.19 : x
  2. Step 2: Convert to fraction form
    10,135.13/19,779.19 = 19,779.19/x
  3. Step 3: Cross multiply
    10,135.13x = 19,779.19 × 19,779.19
  4. Step 4: Simplify right side
    10,135.13x = 391,216,258.16
  5. Step 5: Solve for x
    x = 391,216,258.16/10,135.13
  6. Step 6: Final answer
    x = 38,600.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.