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Finding the Third Proportional to 34,504.88 and 51,931.13

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Solution

The third proportional to 34,504.88 and 51,931.13 is: 78,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,504.88 : 51,931.13 = 51,931.13 : x
  2. Step 2: Convert to fraction form
    34,504.88/51,931.13 = 51,931.13/x
  3. Step 3: Cross multiply
    34,504.88x = 51,931.13 × 51,931.13
  4. Step 4: Simplify right side
    34,504.88x = 2,696,841,743.77
  5. Step 5: Solve for x
    x = 2,696,841,743.77/34,504.88
  6. Step 6: Final answer
    x = 78,158.28

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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.