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Finding the Third Proportional to 30,312 and 45,746

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Solution

The third proportional to 30,312 and 45,746 is: 69,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312 : 45,746 = 45,746 : x
  2. Step 2: Convert to fraction form
    30,312/45,746 = 45,746/x
  3. Step 3: Cross multiply
    30,312x = 45,746 × 45,746
  4. Step 4: Simplify right side
    30,312x = 2,092,696,516
  5. Step 5: Solve for x
    x = 2,092,696,516/30,312
  6. Step 6: Final answer
    x = 69,038.55

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