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Finding the Third Proportional to 42,564 and 64,437.75

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Solution

The third proportional to 42,564 and 64,437.75 is: 97,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564 : 64,437.75 = 64,437.75 : x
  2. Step 2: Convert to fraction form
    42,564/64,437.75 = 64,437.75/x
  3. Step 3: Cross multiply
    42,564x = 64,437.75 × 64,437.75
  4. Step 4: Simplify right side
    42,564x = 4,152,223,625.06
  5. Step 5: Solve for x
    x = 4,152,223,625.06/42,564
  6. Step 6: Final answer
    x = 97,552.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.