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Finding the Third Proportional to 28,724 and 42,913

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Solution

The third proportional to 28,724 and 42,913 is: 64,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,724 : 42,913 = 42,913 : x
  2. Step 2: Convert to fraction form
    28,724/42,913 = 42,913/x
  3. Step 3: Cross multiply
    28,724x = 42,913 × 42,913
  4. Step 4: Simplify right side
    28,724x = 1,841,525,569
  5. Step 5: Solve for x
    x = 1,841,525,569/28,724
  6. Step 6: Final answer
    x = 64,111.04

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