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Finding the Third Proportional to 27,298.69 and 42,406.03

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Solution

The third proportional to 27,298.69 and 42,406.03 is: 65,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,298.69 : 42,406.03 = 42,406.03 : x
  2. Step 2: Convert to fraction form
    27,298.69/42,406.03 = 42,406.03/x
  3. Step 3: Cross multiply
    27,298.69x = 42,406.03 × 42,406.03
  4. Step 4: Simplify right side
    27,298.69x = 1,798,271,486.38
  5. Step 5: Solve for x
    x = 1,798,271,486.38/27,298.69
  6. Step 6: Final answer
    x = 65,873.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.