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Finding the Third Proportional to 31,098.84 and 46,872.28

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Solution

The third proportional to 31,098.84 and 46,872.28 is: 70,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.84 : 46,872.28 = 46,872.28 : x
  2. Step 2: Convert to fraction form
    31,098.84/46,872.28 = 46,872.28/x
  3. Step 3: Cross multiply
    31,098.84x = 46,872.28 × 46,872.28
  4. Step 4: Simplify right side
    31,098.84x = 2,197,010,749.58
  5. Step 5: Solve for x
    x = 2,197,010,749.58/31,098.84
  6. Step 6: Final answer
    x = 70,646.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.