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Finding the Third Proportional to 30,196.13 and 65,595.23

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Solution

The third proportional to 30,196.13 and 65,595.23 is: 142,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.13 : 65,595.23 = 65,595.23 : x
  2. Step 2: Convert to fraction form
    30,196.13/65,595.23 = 65,595.23/x
  3. Step 3: Cross multiply
    30,196.13x = 65,595.23 × 65,595.23
  4. Step 4: Simplify right side
    30,196.13x = 4,302,734,772.71
  5. Step 5: Solve for x
    x = 4,302,734,772.71/30,196.13
  6. Step 6: Final answer
    x = 142,492.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.