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Finding the Third Proportional to 32,454 and 49,114.13

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Solution

The third proportional to 32,454 and 49,114.13 is: 74,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 49,114.13 = 49,114.13 : x
  2. Step 2: Convert to fraction form
    32,454/49,114.13 = 49,114.13/x
  3. Step 3: Cross multiply
    32,454x = 49,114.13 × 49,114.13
  4. Step 4: Simplify right side
    32,454x = 2,412,197,274.52
  5. Step 5: Solve for x
    x = 2,412,197,274.52/32,454
  6. Step 6: Final answer
    x = 74,326.66

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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.