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Finding the Third Proportional to 46,528 and 66,457

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Solution

The third proportional to 46,528 and 66,457 is: 94,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,528 : 66,457 = 66,457 : x
  2. Step 2: Convert to fraction form
    46,528/66,457 = 66,457/x
  3. Step 3: Cross multiply
    46,528x = 66,457 × 66,457
  4. Step 4: Simplify right side
    46,528x = 4,416,532,849
  5. Step 5: Solve for x
    x = 4,416,532,849/46,528
  6. Step 6: Final answer
    x = 94,922.04

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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.