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Finding the Third Proportional to 42,816 and 63,840

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Solution

The third proportional to 42,816 and 63,840 is: 95,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,816 : 63,840 = 63,840 : x
  2. Step 2: Convert to fraction form
    42,816/63,840 = 63,840/x
  3. Step 3: Cross multiply
    42,816x = 63,840 × 63,840
  4. Step 4: Simplify right side
    42,816x = 4,075,545,600
  5. Step 5: Solve for x
    x = 4,075,545,600/42,816
  6. Step 6: Final answer
    x = 95,187.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.