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Finding the Third Proportional to 28,709 and 42,213

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Solution

The third proportional to 28,709 and 42,213 is: 62,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,709 : 42,213 = 42,213 : x
  2. Step 2: Convert to fraction form
    28,709/42,213 = 42,213/x
  3. Step 3: Cross multiply
    28,709x = 42,213 × 42,213
  4. Step 4: Simplify right side
    28,709x = 1,781,937,369
  5. Step 5: Solve for x
    x = 1,781,937,369/28,709
  6. Step 6: Final answer
    x = 62,068.95

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Why These Related Problems?

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