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Finding the Third Proportional to 46,036 and 71,090

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Solution

The third proportional to 46,036 and 71,090 is: 109,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,036 : 71,090 = 71,090 : x
  2. Step 2: Convert to fraction form
    46,036/71,090 = 71,090/x
  3. Step 3: Cross multiply
    46,036x = 71,090 × 71,090
  4. Step 4: Simplify right side
    46,036x = 5,053,788,100
  5. Step 5: Solve for x
    x = 5,053,788,100/46,036
  6. Step 6: Final answer
    x = 109,779.04

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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.