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Finding the Third Proportional to 53,004 and 71,730

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Solution

The third proportional to 53,004 and 71,730 is: 97,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,004 : 71,730 = 71,730 : x
  2. Step 2: Convert to fraction form
    53,004/71,730 = 71,730/x
  3. Step 3: Cross multiply
    53,004x = 71,730 × 71,730
  4. Step 4: Simplify right side
    53,004x = 5,145,192,900
  5. Step 5: Solve for x
    x = 5,145,192,900/53,004
  6. Step 6: Final answer
    x = 97,071.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.