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Finding the Third Proportional to 44,623.50 and 65,700

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Solution

The third proportional to 44,623.50 and 65,700 is: 96,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,623.50 : 65,700 = 65,700 : x
  2. Step 2: Convert to fraction form
    44,623.50/65,700 = 65,700/x
  3. Step 3: Cross multiply
    44,623.50x = 65,700 × 65,700
  4. Step 4: Simplify right side
    44,623.50x = 4,316,490,000
  5. Step 5: Solve for x
    x = 4,316,490,000/44,623.50
  6. Step 6: Final answer
    x = 96,731.32

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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.