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Finding the Third Proportional to 33,507 and 45,506

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Solution

The third proportional to 33,507 and 45,506 is: 61,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507 : 45,506 = 45,506 : x
  2. Step 2: Convert to fraction form
    33,507/45,506 = 45,506/x
  3. Step 3: Cross multiply
    33,507x = 45,506 × 45,506
  4. Step 4: Simplify right side
    33,507x = 2,070,796,036
  5. Step 5: Solve for x
    x = 2,070,796,036/33,507
  6. Step 6: Final answer
    x = 61,801.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.