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Finding the Third Proportional to 46,840 and 67,709

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Solution

The third proportional to 46,840 and 67,709 is: 97,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,840 : 67,709 = 67,709 : x
  2. Step 2: Convert to fraction form
    46,840/67,709 = 67,709/x
  3. Step 3: Cross multiply
    46,840x = 67,709 × 67,709
  4. Step 4: Simplify right side
    46,840x = 4,584,508,681
  5. Step 5: Solve for x
    x = 4,584,508,681/46,840
  6. Step 6: Final answer
    x = 97,875.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.