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Finding the Third Proportional to 27,633.66 and 42,526.90

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Solution

The third proportional to 27,633.66 and 42,526.90 is: 65,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.66 : 42,526.90 = 42,526.90 : x
  2. Step 2: Convert to fraction form
    27,633.66/42,526.90 = 42,526.90/x
  3. Step 3: Cross multiply
    27,633.66x = 42,526.90 × 42,526.90
  4. Step 4: Simplify right side
    27,633.66x = 1,808,537,090.71
  5. Step 5: Solve for x
    x = 1,808,537,090.71/27,633.66
  6. Step 6: Final answer
    x = 65,446.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.