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Finding the Third Proportional to 46,584 and 98,688

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Solution

The third proportional to 46,584 and 98,688 is: 209,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 98,688 = 98,688 : x
  2. Step 2: Convert to fraction form
    46,584/98,688 = 98,688/x
  3. Step 3: Cross multiply
    46,584x = 98,688 × 98,688
  4. Step 4: Simplify right side
    46,584x = 9,739,321,344
  5. Step 5: Solve for x
    x = 9,739,321,344/46,584
  6. Step 6: Final answer
    x = 209,070.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.