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Finding the Third Proportional to 46,656 and 70,224

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Solution

The third proportional to 46,656 and 70,224 is: 105,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656 : 70,224 = 70,224 : x
  2. Step 2: Convert to fraction form
    46,656/70,224 = 70,224/x
  3. Step 3: Cross multiply
    46,656x = 70,224 × 70,224
  4. Step 4: Simplify right side
    46,656x = 4,931,410,176
  5. Step 5: Solve for x
    x = 4,931,410,176/46,656
  6. Step 6: Final answer
    x = 105,697.23

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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.