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Finding the Third Proportional to 42,277.50 and 65,005.88

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Solution

The third proportional to 42,277.50 and 65,005.88 is: 99,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,277.50 : 65,005.88 = 65,005.88 : x
  2. Step 2: Convert to fraction form
    42,277.50/65,005.88 = 65,005.88/x
  3. Step 3: Cross multiply
    42,277.50x = 65,005.88 × 65,005.88
  4. Step 4: Simplify right side
    42,277.50x = 4,225,763,784.52
  5. Step 5: Solve for x
    x = 4,225,763,784.52/42,277.50
  6. Step 6: Final answer
    x = 99,953.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.