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Finding the Third Proportional to 46,712 and 70,554

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Solution

The third proportional to 46,712 and 70,554 is: 106,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,712 : 70,554 = 70,554 : x
  2. Step 2: Convert to fraction form
    46,712/70,554 = 70,554/x
  3. Step 3: Cross multiply
    46,712x = 70,554 × 70,554
  4. Step 4: Simplify right side
    46,712x = 4,977,866,916
  5. Step 5: Solve for x
    x = 4,977,866,916/46,712
  6. Step 6: Final answer
    x = 106,565.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.