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Finding the Third Proportional to 29,785.50 and 46,312

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Solution

The third proportional to 29,785.50 and 46,312 is: 72,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,785.50 : 46,312 = 46,312 : x
  2. Step 2: Convert to fraction form
    29,785.50/46,312 = 46,312/x
  3. Step 3: Cross multiply
    29,785.50x = 46,312 × 46,312
  4. Step 4: Simplify right side
    29,785.50x = 2,144,801,344
  5. Step 5: Solve for x
    x = 2,144,801,344/29,785.50
  6. Step 6: Final answer
    x = 72,008.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.