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Finding the Third Proportional to 15,729.19 and 34,921.13

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Solution

The third proportional to 15,729.19 and 34,921.13 is: 77,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.19 : 34,921.13 = 34,921.13 : x
  2. Step 2: Convert to fraction form
    15,729.19/34,921.13 = 34,921.13/x
  3. Step 3: Cross multiply
    15,729.19x = 34,921.13 × 34,921.13
  4. Step 4: Simplify right side
    15,729.19x = 1,219,484,971.27
  5. Step 5: Solve for x
    x = 1,219,484,971.27/15,729.19
  6. Step 6: Final answer
    x = 77,530.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.