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Finding the Third Proportional to 15,417.75 and 33,689.06

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Solution

The third proportional to 15,417.75 and 33,689.06 is: 73,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417.75 : 33,689.06 = 33,689.06 : x
  2. Step 2: Convert to fraction form
    15,417.75/33,689.06 = 33,689.06/x
  3. Step 3: Cross multiply
    15,417.75x = 33,689.06 × 33,689.06
  4. Step 4: Simplify right side
    15,417.75x = 1,134,952,932.13
  5. Step 5: Solve for x
    x = 1,134,952,932.13/15,417.75
  6. Step 6: Final answer
    x = 73,613.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.