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Finding the Third Proportional to 39,465 and 59,607

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Solution

The third proportional to 39,465 and 59,607 is: 90,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,465 : 59,607 = 59,607 : x
  2. Step 2: Convert to fraction form
    39,465/59,607 = 59,607/x
  3. Step 3: Cross multiply
    39,465x = 59,607 × 59,607
  4. Step 4: Simplify right side
    39,465x = 3,552,994,449
  5. Step 5: Solve for x
    x = 3,552,994,449/39,465
  6. Step 6: Final answer
    x = 90,029.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.