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Finding the Third Proportional to 35,216 and 75,584

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Solution

The third proportional to 35,216 and 75,584 is: 162,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,216 : 75,584 = 75,584 : x
  2. Step 2: Convert to fraction form
    35,216/75,584 = 75,584/x
  3. Step 3: Cross multiply
    35,216x = 75,584 × 75,584
  4. Step 4: Simplify right side
    35,216x = 5,712,941,056
  5. Step 5: Solve for x
    x = 5,712,941,056/35,216
  6. Step 6: Final answer
    x = 162,225.72

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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.