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Finding the Third Proportional to 32,345 and 69,415

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Solution

The third proportional to 32,345 and 69,415 is: 148,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,345 : 69,415 = 69,415 : x
  2. Step 2: Convert to fraction form
    32,345/69,415 = 69,415/x
  3. Step 3: Cross multiply
    32,345x = 69,415 × 69,415
  4. Step 4: Simplify right side
    32,345x = 4,818,442,225
  5. Step 5: Solve for x
    x = 4,818,442,225/32,345
  6. Step 6: Final answer
    x = 148,970.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.