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Finding the Third Proportional to 29,746.13 and 64,392.75

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Solution

The third proportional to 29,746.13 and 64,392.75 is: 139,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746.13 : 64,392.75 = 64,392.75 : x
  2. Step 2: Convert to fraction form
    29,746.13/64,392.75 = 64,392.75/x
  3. Step 3: Cross multiply
    29,746.13x = 64,392.75 × 64,392.75
  4. Step 4: Simplify right side
    29,746.13x = 4,146,426,252.56
  5. Step 5: Solve for x
    x = 4,146,426,252.56/29,746.13
  6. Step 6: Final answer
    x = 139,393.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.