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Finding the Third Proportional to 46,572 and 64,284

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Solution

The third proportional to 46,572 and 64,284 is: 88,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,572 : 64,284 = 64,284 : x
  2. Step 2: Convert to fraction form
    46,572/64,284 = 64,284/x
  3. Step 3: Cross multiply
    46,572x = 64,284 × 64,284
  4. Step 4: Simplify right side
    46,572x = 4,132,432,656
  5. Step 5: Solve for x
    x = 4,132,432,656/46,572
  6. Step 6: Final answer
    x = 88,732.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.