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Finding the Third Proportional to 29,964 and 46,746

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Solution

The third proportional to 29,964 and 46,746 is: 72,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,964 : 46,746 = 46,746 : x
  2. Step 2: Convert to fraction form
    29,964/46,746 = 46,746/x
  3. Step 3: Cross multiply
    29,964x = 46,746 × 46,746
  4. Step 4: Simplify right side
    29,964x = 2,185,188,516
  5. Step 5: Solve for x
    x = 2,185,188,516/29,964
  6. Step 6: Final answer
    x = 72,927.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.