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Finding the Third Proportional to 32,516 and 46,506

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Solution

The third proportional to 32,516 and 46,506 is: 66,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516 : 46,506 = 46,506 : x
  2. Step 2: Convert to fraction form
    32,516/46,506 = 46,506/x
  3. Step 3: Cross multiply
    32,516x = 46,506 × 46,506
  4. Step 4: Simplify right side
    32,516x = 2,162,808,036
  5. Step 5: Solve for x
    x = 2,162,808,036/32,516
  6. Step 6: Final answer
    x = 66,515.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.