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Finding the Third Proportional to 29,547.58 and 44,216.94

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Solution

The third proportional to 29,547.58 and 44,216.94 is: 66,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.58 : 44,216.94 = 44,216.94 : x
  2. Step 2: Convert to fraction form
    29,547.58/44,216.94 = 44,216.94/x
  3. Step 3: Cross multiply
    29,547.58x = 44,216.94 × 44,216.94
  4. Step 4: Simplify right side
    29,547.58x = 1,955,137,648.24
  5. Step 5: Solve for x
    x = 1,955,137,648.24/29,547.58
  6. Step 6: Final answer
    x = 66,169.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.