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Finding the Third Proportional to 44,647.50 and 65,513.25

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Solution

The third proportional to 44,647.50 and 65,513.25 is: 96,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,647.50 : 65,513.25 = 65,513.25 : x
  2. Step 2: Convert to fraction form
    44,647.50/65,513.25 = 65,513.25/x
  3. Step 3: Cross multiply
    44,647.50x = 65,513.25 × 65,513.25
  4. Step 4: Simplify right side
    44,647.50x = 4,291,985,925.56
  5. Step 5: Solve for x
    x = 4,291,985,925.56/44,647.50
  6. Step 6: Final answer
    x = 96,130.49

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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.