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Finding the Third Proportional to 64,028.25 and 93,966.47

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Solution

The third proportional to 64,028.25 and 93,966.47 is: 137,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,028.25 : 93,966.47 = 93,966.47 : x
  2. Step 2: Convert to fraction form
    64,028.25/93,966.47 = 93,966.47/x
  3. Step 3: Cross multiply
    64,028.25x = 93,966.47 × 93,966.47
  4. Step 4: Simplify right side
    64,028.25x = 8,829,697,249.34
  5. Step 5: Solve for x
    x = 8,829,697,249.34/64,028.25
  6. Step 6: Final answer
    x = 137,903.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.