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Finding the Third Proportional to 28,822 and 42,297

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Solution

The third proportional to 28,822 and 42,297 is: 62,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,822 : 42,297 = 42,297 : x
  2. Step 2: Convert to fraction form
    28,822/42,297 = 42,297/x
  3. Step 3: Cross multiply
    28,822x = 42,297 × 42,297
  4. Step 4: Simplify right side
    28,822x = 1,789,036,209
  5. Step 5: Solve for x
    x = 1,789,036,209/28,822
  6. Step 6: Final answer
    x = 62,071.90

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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.