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Finding the Third Proportional to 33,641 and 45,709

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Solution

The third proportional to 33,641 and 45,709 is: 62,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,641 : 45,709 = 45,709 : x
  2. Step 2: Convert to fraction form
    33,641/45,709 = 45,709/x
  3. Step 3: Cross multiply
    33,641x = 45,709 × 45,709
  4. Step 4: Simplify right side
    33,641x = 2,089,312,681
  5. Step 5: Solve for x
    x = 2,089,312,681/33,641
  6. Step 6: Final answer
    x = 62,106.14

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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.