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Finding the Third Proportional to 29,428 and 37,784

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Solution

The third proportional to 29,428 and 37,784 is: 48,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,428 : 37,784 = 37,784 : x
  2. Step 2: Convert to fraction form
    29,428/37,784 = 37,784/x
  3. Step 3: Cross multiply
    29,428x = 37,784 × 37,784
  4. Step 4: Simplify right side
    29,428x = 1,427,630,656
  5. Step 5: Solve for x
    x = 1,427,630,656/29,428
  6. Step 6: Final answer
    x = 48,512.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.