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Finding the Third Proportional to 19,546.31 and 29,547.28

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Solution

The third proportional to 19,546.31 and 29,547.28 is: 44,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.31 : 29,547.28 = 29,547.28 : x
  2. Step 2: Convert to fraction form
    19,546.31/29,547.28 = 29,547.28/x
  3. Step 3: Cross multiply
    19,546.31x = 29,547.28 × 29,547.28
  4. Step 4: Simplify right side
    19,546.31x = 873,041,829.27
  5. Step 5: Solve for x
    x = 873,041,829.27/19,546.31
  6. Step 6: Final answer
    x = 44,665.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.