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Finding the Third Proportional to 44,762.50 and 97,517

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Solution

The third proportional to 44,762.50 and 97,517 is: 212,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,762.50 : 97,517 = 97,517 : x
  2. Step 2: Convert to fraction form
    44,762.50/97,517 = 97,517/x
  3. Step 3: Cross multiply
    44,762.50x = 97,517 × 97,517
  4. Step 4: Simplify right side
    44,762.50x = 9,509,565,289
  5. Step 5: Solve for x
    x = 9,509,565,289/44,762.50
  6. Step 6: Final answer
    x = 212,444.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.