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Finding the Third Proportional to 42,637 and 59,639

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Solution

The third proportional to 42,637 and 59,639 is: 83,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,637 : 59,639 = 59,639 : x
  2. Step 2: Convert to fraction form
    42,637/59,639 = 59,639/x
  3. Step 3: Cross multiply
    42,637x = 59,639 × 59,639
  4. Step 4: Simplify right side
    42,637x = 3,556,810,321
  5. Step 5: Solve for x
    x = 3,556,810,321/42,637
  6. Step 6: Final answer
    x = 83,420.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.