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Finding the Third Proportional to 24,315.19 and 34,673.06

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Solution

The third proportional to 24,315.19 and 34,673.06 is: 49,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.19 : 34,673.06 = 34,673.06 : x
  2. Step 2: Convert to fraction form
    24,315.19/34,673.06 = 34,673.06/x
  3. Step 3: Cross multiply
    24,315.19x = 34,673.06 × 34,673.06
  4. Step 4: Simplify right side
    24,315.19x = 1,202,221,263.13
  5. Step 5: Solve for x
    x = 1,202,221,263.13/24,315.19
  6. Step 6: Final answer
    x = 49,443.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.