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Finding the Third Proportional to 31,323 and 45,297

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Solution

The third proportional to 31,323 and 45,297 is: 65,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323 : 45,297 = 45,297 : x
  2. Step 2: Convert to fraction form
    31,323/45,297 = 45,297/x
  3. Step 3: Cross multiply
    31,323x = 45,297 × 45,297
  4. Step 4: Simplify right side
    31,323x = 2,051,818,209
  5. Step 5: Solve for x
    x = 2,051,818,209/31,323
  6. Step 6: Final answer
    x = 65,505.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.