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Finding the Third Proportional to 29,746 and 40,789

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Solution

The third proportional to 29,746 and 40,789 is: 55,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746 : 40,789 = 40,789 : x
  2. Step 2: Convert to fraction form
    29,746/40,789 = 40,789/x
  3. Step 3: Cross multiply
    29,746x = 40,789 × 40,789
  4. Step 4: Simplify right side
    29,746x = 1,663,742,521
  5. Step 5: Solve for x
    x = 1,663,742,521/29,746
  6. Step 6: Final answer
    x = 55,931.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.