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Finding the Third Proportional to 28,989 and 42,633

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Solution

The third proportional to 28,989 and 42,633 is: 62,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,989 : 42,633 = 42,633 : x
  2. Step 2: Convert to fraction form
    28,989/42,633 = 42,633/x
  3. Step 3: Cross multiply
    28,989x = 42,633 × 42,633
  4. Step 4: Simplify right side
    28,989x = 1,817,572,689
  5. Step 5: Solve for x
    x = 1,817,572,689/28,989
  6. Step 6: Final answer
    x = 62,698.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.