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Finding the Third Proportional to 65,642.50 and 72,410

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Solution

The third proportional to 65,642.50 and 72,410 is: 79,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.50 : 72,410 = 72,410 : x
  2. Step 2: Convert to fraction form
    65,642.50/72,410 = 72,410/x
  3. Step 3: Cross multiply
    65,642.50x = 72,410 × 72,410
  4. Step 4: Simplify right side
    65,642.50x = 5,243,208,100
  5. Step 5: Solve for x
    x = 5,243,208,100/65,642.50
  6. Step 6: Final answer
    x = 79,875.20

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.