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Finding the Third Proportional to 46,386 and 70,011

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Solution

The third proportional to 46,386 and 70,011 is: 105,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,386 : 70,011 = 70,011 : x
  2. Step 2: Convert to fraction form
    46,386/70,011 = 70,011/x
  3. Step 3: Cross multiply
    46,386x = 70,011 × 70,011
  4. Step 4: Simplify right side
    46,386x = 4,901,540,121
  5. Step 5: Solve for x
    x = 4,901,540,121/46,386
  6. Step 6: Final answer
    x = 105,668.52

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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.