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Finding the Third Proportional to 34,503.19 and 51,927.47

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Solution

The third proportional to 34,503.19 and 51,927.47 is: 78,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,503.19 : 51,927.47 = 51,927.47 : x
  2. Step 2: Convert to fraction form
    34,503.19/51,927.47 = 51,927.47/x
  3. Step 3: Cross multiply
    34,503.19x = 51,927.47 × 51,927.47
  4. Step 4: Simplify right side
    34,503.19x = 2,696,462,010.78
  5. Step 5: Solve for x
    x = 2,696,462,010.78/34,503.19
  6. Step 6: Final answer
    x = 78,151.10

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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.