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Finding the Third Proportional to 31,130 and 46,585

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Solution

The third proportional to 31,130 and 46,585 is: 69,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130 : 46,585 = 46,585 : x
  2. Step 2: Convert to fraction form
    31,130/46,585 = 46,585/x
  3. Step 3: Cross multiply
    31,130x = 46,585 × 46,585
  4. Step 4: Simplify right side
    31,130x = 2,170,162,225
  5. Step 5: Solve for x
    x = 2,170,162,225/31,130
  6. Step 6: Final answer
    x = 69,712.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.