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Finding the Third Proportional to 35,216 and 51,360

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Solution

The third proportional to 35,216 and 51,360 is: 74,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,216 : 51,360 = 51,360 : x
  2. Step 2: Convert to fraction form
    35,216/51,360 = 51,360/x
  3. Step 3: Cross multiply
    35,216x = 51,360 × 51,360
  4. Step 4: Simplify right side
    35,216x = 2,637,849,600
  5. Step 5: Solve for x
    x = 2,637,849,600/35,216
  6. Step 6: Final answer
    x = 74,904.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.