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Finding the Third Proportional to 29,547.28 and 45,414.42

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Solution

The third proportional to 29,547.28 and 45,414.42 is: 69,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.28 : 45,414.42 = 45,414.42 : x
  2. Step 2: Convert to fraction form
    29,547.28/45,414.42 = 45,414.42/x
  3. Step 3: Cross multiply
    29,547.28x = 45,414.42 × 45,414.42
  4. Step 4: Simplify right side
    29,547.28x = 2,062,469,714.24
  5. Step 5: Solve for x
    x = 2,062,469,714.24/29,547.28
  6. Step 6: Final answer
    x = 69,802.35

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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.