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Finding the Third Proportional to 46,020 and 70,712

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Solution

The third proportional to 46,020 and 70,712 is: 108,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,020 : 70,712 = 70,712 : x
  2. Step 2: Convert to fraction form
    46,020/70,712 = 70,712/x
  3. Step 3: Cross multiply
    46,020x = 70,712 × 70,712
  4. Step 4: Simplify right side
    46,020x = 5,000,186,944
  5. Step 5: Solve for x
    x = 5,000,186,944/46,020
  6. Step 6: Final answer
    x = 108,652.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.